Curriculum Vitae

 

Steve Halperin

 

Notarization.  I have read the following and certify that this curriculum vitae is a current and accurate statement of my professional record.

 

 

 

Signature________cid:image002.jpg@01CEAFD0.8EF348D0________________________     Date______3/26/17______________

 

 

 

BIOGRAPHICAL INFORMATION:

 

Personal:

 

Date/Place of Birth:                February 1, 1942. Kingston, Ontario, Canada.

 

            Citizenship:                             Canadian, USA Permanent Resident

 

            Home Address:                       7405 Leaf Shade Court

                                                            Laurel, MD  20707

                                                            Phone: 240-264-8121

 

            University Address:                College of Computer, Mathematical and Natural Sciences

                                                            Room 2107 Mathematics Building

                                                            University of Maryland

                                                            College Park, Maryland  20742

                                                            Phone: 301-405-1875

 

Degrees:

 

            B.Sc.               1965 University of Toronto

            M.Sc.              1966 University of Toronto

Ph.D.               1970 Cornell University

Thesis title:  “Real cohomology of smooth transformation groups”.

                                                Supervisor: H.C. Wang

 

Positions Held:

 

1970-74           Assistant Professor, Mathematics,

                                    Scarborough College, University of Toronto

            1974-79           Associate Professor, Mathematics,

                                    Scarborough College, University of Toronto

            1978-81           Associate Chair, Physical Sciences,

                                    Scarborough College, University of Toronto

            1979- 91          Professor of Mathematics,

                                    Scarborough College, University of Toronto

            1982-85           Associate Chair, Department of Mathematics,

                                    University of Toronto

            1991-95           Chair, Department of Mathematics, University of Toronto

            1996-98           Chair, Department of Mathematics, University of Toronto

            1998-99           Senior Advisor to the Vice President for Research and

                                    International Relations, University of Toronto

            1998-99           Program Leader for the Canadian National Network of Centres of

Excellence, Mathematics of Information Technology and Complex Systems (MITACS)

1999-                         Professor, Mathematics, University of Maryland, College Park

1999-2010       Dean, College of Computer, Mathematical, and Physical Sciences, University of Maryland, College Park (Sept. 1, 1999- October 3, 2010)

2010                Dean, College of Chemical and Life Sciences, University of Maryland, College Park (July 1, 2010 to October 3, 2010)

2010-2011       Dean, College of Computer, Mathematical, and Natural Sciences, University of Maryland, College Park (October 4, 2010-August 14, 2011)

2011-               Director, Climate Information Responding to User Needs (CIRUN)

 

Honours:

 

1967                Cornell Graduate Fellowship

            1968                Sigma Xi Fellowship

            1969                Cornell Senior Graduate Fellowship

            1984                Fellow of the Royal Society of Canada

1997                           Jeffery-Williams lecturer of the Canadian Mathematical Society

1999                Chevallier de l’Ordre des Palmes Academiques, France

2002                Permanent Fellow of the Fields Institute

 

 

ACADEMIC HISTORY

 

Research Interests:

           

Loop space homology, Hopf algebras, rational homotopy theory and its applications.

 

MathSciNet citations:   1,831 by 853 authors.

 

Grants:

 

            1971-72                       NRC Operating Grant                                     $450

            1972-75                       NRC Operating Grant                                     $1,500

            1975-78                       NRC Operating Grant                                     $6,000

            1976                            NSERC Travel Grant,

                                                            Dept. of External Affairs                    $850

            1978-81                       NRC Operating Grant                                     $9,200 p.a.

            1981-84                       NSERC Operating Grant                                $11,000 p.a.

            1981-82                       NSERC Travel Grant                                     $950

            1984-87                       NSERC Operating Grant                                $30,000 p.a.

            1985                            NSERC Equipment Grant     

                                                            (principal investigator)                       $83,000

            1985-86                       (with Felix, Lemaire, Thomas)

                                                            NATO grant                                       $5,000

            1986-87                       (with Felix, Lemaire, Thomas)          

                                                            NATO grant                                       $8,000

            1987-90                       NSERC Operating Grant                                $33,000 p.a.

            1988-91                       NSERC Infrastructure grant

                                                            (principal investigator)                       $18,000 p.a.

            1989                            NSERC Equipment Grant

                                                            (principal investigator)                       $71,600

 

            1989-91                       (with Felix, Lemaire, Thomas)

                                                            NATO grant                                       $9,000 p.a.

            1990-93                       NSERC Operating Grant                                $37,500 p.a.

            1990                            NSERC Conference Grant                             $17,000

            1991                            NSERC Equipment Grant

                                                            (principal investigator)                       $30,000

            1991-94                       NSERC Infrastructure grant

                                                            (principal investigator)                       $35,000 p.a.

            1991-92                       (with Felix, Lemaire, Thomas)

                                                            NATO grant                                       $9,000 p.a.

            1992-94                       (with Felix, Lemaire, Thomas)

                                                            NATO grant                                       $8,000 p.a.

            1993                            NSERC Equipment Grant

                                                            (principal investigator)                       $47,000

            1993-98                       NSERC Operating Grant                                $37,500 p.a.

            1995-97                       (with Felix, Tanre, Thomas)

                                                            NATO grant                                       $8,000 p.a. 

            1998-2002                   NSERC Operating Grant                                $30,800 p.a.

            1998-2002                   MITACS Grant                                               $14.47 million

 

Grant Proposals:

 

2014: Co-I as managing director on a preliminary proposal to the NSF for a science and technology center: Saving Water for Food.

 

Visiting Positions:

 

1969 (summer)                       Guest at the Mathemastische Forschungs-institut of the                                                               E.T.H., Zurich

 

            1971 (summer)                       Member of the Summer Research Institute, Kingston

 

            1974 (spring)                          Research associate at the C.N.R.S., Universite de Grenoble

 

            1976 (April)-1977 (June)       Visiting maitre de conferences at the Universite de

                                                            Lille I

 

            1979 (May)                             Visiting Professor, Universite Catholique de Louvain

 

            1981 (July)-1982 (Jan.)          Visiting Professor SFB40 Mathematik, University of

                                                            Bonn

            1982 (Feb.-Mar.)                    Visiting Professor, Universite de Lille I

 

            1982 (Apr.-June)                    Visiting Professor, Universite de Nice

 

            1983 (May)                             Visiting Professor, Universite de Lille I

 

            1985 (Apr.-May)                    Visiting Professor, University of Stockholm

 

            1986 (May-June)                    Visiting Professor, Universite de Nice

 

            1988 (May)                             Visiting Professor, Universite de Lille I

 

            1988 (October)                       Visiting Professor, Universite de Louvain

 

            1989 (April)                            Visiting Professor, Universite de Louvain

 

            1990 (June)                             Visiting Professor, Universite de Louvain

 

            1991 (November)                   Visiting Professor, Universite de Louvain

 

            1993 (February)                      Visiting Professor, Universite de Lille

 

            1993 (October)                       Visiting Professor, Ecole Polytechnique de Lausanne

 

            1994 (spring)                          Visiting Professor, Universite de Louvain

 

            1995 (fall)                               Visiting Professor, Universite de Lille I

 

            1996 (fall)                               Visiting Professor, Universite de Louvain

 

            2010 (January)                        Visiting Professor, Universite d’Angers

 

            2010 (July)                             Visiting Professor, Universite de Louvain

 

            2012 (January)                        Visiting Professor, Universite d’Angers

 

            2013 (June)                             Visiting Professor, University of Malaga

 

            2013 (January)                        Visiting Professor, Universite d’Angers

 

            2013 (July)                             Visiting Professor, Universite de Louvain

 

            2014 (January)                        Visiting Professor, Universite d’Angers

 

            2014 (March)                          Mathematisce Forschungs Institut, Oberwolfach

 

            2014 (June)                             Visiting Professor, Universite de Louvain

 

 

           

SCHOLARLY AND PROFESSIONAL WORK

 

Refereed Publications:

 

Publications in Refereed Journals and Books:

 

1.         S. Halperin, S. Rolewicz and A. Shields, On eigenvectors of compact

            contractions acting in linear metric spaces, Colloq. Math. XIX (1968) 85-87.

 

2.         S. Halperin and D. Toledo, Stiefel Whitney homology classes, Ann. of Math.

            96 (1972) 511-525.  MR 47 No. 1072.

 

3.         S. Halperin and W. Greub, Fibre integration and some of its applications,

            Collecteana Math. 23 (1972) 3-20.  MR 49 No. 11527. 

 

4.         S. Halperin and D. Toledo, The product formula for Stiefel Whitney

homology classes, Proc. A.M.S., 48, (1975) 239-244.  MR 51 No. 1836.

 

5.         W. Greub and S. Halperin, An intrinsic definition of the Dirac operator,

            Coll. Math., 26 (1975) 3-21.  MR 57 No. 14068.

 

6.         S. Halperin and D. Lehmann, Twisted exotism, in Differential Geometry and

            Relativity, D. Reidel Publ. Co. (1977) 67-73.  MR 57 No. 13969.

 

7.         S. Halperin, Finiteness in the minimal models of Sullivan, Trans. A.M.S.,

            230 (1977) 173-199, MR 57 No. 1493.

 

8.         S. Halperin, Rational fibrations, minimal models and fibrings of

             homogeneous spaces, Trans. A.M.S., 244 (1978) 199-233, MR 58 No. 24264.

 

9.         C. Allday and S. Halperin, Lie group actions on spaces of finite rank,

            Oxford Quarterly J., 29 (1978) 63-76, MR 58 No. 18510.

 

10.       K. Grove, S. Halperin and M. Vigue-Poirier, The rational homotopy theory

            of certain path spaces with applications to geodesics, Acta Math., 140

            1978) 277-303, MR 80g:  58024.

 

11.       S. Halperin and J.D. Stasheff, Obstructions to homotopy equivalences,

            Advances in Math., 32 (1979) 233-279.  MR 80j: 55016.

 

12.       J. Friedlander and S. Halperin, Distinct representatives, varieties and

            rational homotopy, Journ. of Number Theory 11, (1979) 321-323.

            MR 81f: 55006a.

 

13.       J. Friedlander and S. Halperin, An arithmetic characterization of the rational

            homotopy groups of certain spaces, Inv.  Math., 53 (1979) 117-133.

            MR 81f: 55006b.

 

14.       S. Halperin, Modele de l'espace des lacets libres dans un espace a groupe

            fondamental non nul, C.R. Acad. Sci. Paris t. 293, Serie I (1981) 79-81.

            MR 82i: 55012.

 

15.       S. Halperin and J.-C. Thomas, Rational equivalence of fibrations with fibre

            G/K, Can. J. Math. 34 (1982) 31-34.  MR83i:55014

 

16.       Y. Felix and S. Halperin, Formality in spaces with finite dimensional

            rational homotopy, Trans. A.M.S., 270, (1982) 575-588.  MR 83h: 55023.

 

17.       Y. Felix and S. Halperin, Rational LS category and its applications,

            Trans. A.M.S., 273, (1982), 1-37, MR 84h:55011.

 

18.       K. Grove and S. Halperin, Contributions of rational homotopy to global

            problems in geometry, Publ. Math. I.H.E.S. 56 (1982) 171-177. 

            MR84b:58030.

 

19.       Y. Felix, S. Halperin and J.-C. Thomas, The homotopy Lie algebra for

finite complexes, Publ. Math. I.H.E.S. 56 (1982), 179-202.  MR85c:55010. 

 

20.       Y. Felix, S. Halperin and J.-C. Thomas, Sur certaines algebres de Lie de

            derivations, Ann. de l'Inst. Fourier, 32, (1982) 143-150.  MR84m:55011.

 

21.       Y. Felix, S. Halperin and J.-C. Thomas, L.-S. categorie et suite Spectrale de

            Milnor-Moore, Bull. Soc. Math. France, 111, (1983) 89-96. MR85d:55011.

 

22.       Y. Felix, S. Halperin and J.-C. Thomas, Sur l'homotopie des espaces de

            categorie deux, Math. Scand., 55 (1984) 216-228.  MR86k:55008.

 

23.       S. Halperin, Lectures on minimal models, Memoires of the Soc. Math.

            France, Vol. 9/10, (1984) 1-261.  MR85i:55009.

 

24.       J.E. Dove, S. Halperin and S. Raynor, Deviations from the linear mixture in

            non-equilibrium chemical kinetics, J.  Chem. Phys. 81 (2) (15 July 1984),

            799-811.

 

25.       C. Allday and S. Halperin, Sullivan-de Rham theory for rational

            Alexander-Spanier cohomology, Houston J. Math. 10 (1984) pp. 15-33.

            MR85d:55014.

 

26.       S. Halperin, Rational homotopy and torus actions, in Aspects of Topology,

            London Math. Soc. Lecture Note Series 93, Cambridge Univ. Press (1985)

            293-306.

 

27.       L. Avramov, H.B. Foxby and S. Halperin, Descent and ascent of local

            properties along homomorphisms of finite flat dimension, J. Pure and Appl.

            Alg. 38 (1985) 167-186.

 

28.       D. Anick and S. Halperin, Commutative rings, algebraic topology, graded

            Lie algebras, and the work of Jan-Erik Roos, J. Pure and Appl. Alg. 38

            (1985) 103-109.

 

29.       L. Avramov and S. Halperin, On the non-vanishing of cotangent cohomology,

            Comment. Math. Helv. 62 (1987) 169-184.

 

30.       Y. Felix and S. Halperin, The rational homotopy of spaces with non-zero

            Euler-Poincare characteristic, Bull. Soc. Math. Belg. - Special issue in

            honour of G. Hirsch - 38 (1986) 171-173.

 

31.       K. Grove and S. Halperin, Dupin hypersurfaces, group actions and the double

            mapping cylinder, J. Diff. Geom. 26 (1987) 429-459.

 

32.       S. Halperin, The non-vanishing of the deviations of a local ring.

Comment Math. Helv. 62 (1987) 646-653.

 

33.       S. Halperin and J.M. Lemaire, Elements et suites inertes dans les algebres

            de Lie graduees, Math. Scand. 61 (1987) 39-67.

 

34.       S. Halperin, Y. Felix, C. Jacobsson, C. Lofwall and J.C. Thomas, The

            radical of the homotopy Lie algebra, Amer. J. Math. 110 (1988), 301-322. 

 

35.       S. Halperin, Torsion gaps in the homotopy of finite complexes, Topology

            27 (1988) 367-375.

 

36.       Y. Felix, S. Halperin and J.-C. Thomas, Gorenstein spaces, Adv. in Math. 71

            (1988) 92-112.  

 

37.       Y. Felix, S. Halperin, J.-M. Lemaire and J.-C. Thomas, Mod p loop space

            homology, Inventiones Math. 95, (1989) 247-262.

 

38.       Y. Felix, S. Halperin and J.-C. Thomas, Hopf algebras of polynomial growth,

            J. of Algebra 125 (1989), 408-417.

 

39.       S. Halperin, Primitive subspaces of Hopf algebras of finite depth, Math.

            Annalen 287 (1990) 387-390.

 

40.       Y. Felix, S. Halperin and J.-C. Thomas, Loop space homology of spaces

            of LS category one and two, Math. Annalen 287 (1990) 377-386.

 

41.       S. Halperin and D. Tanre, Homotopie filtree et fibres C∞, Illinois J. Math.

            34 (1990) 284-324.

 

42.       S. Halperin and M. Vigue, The homology of a free loop space, Pacific J.

Math. 147 (1991) 311-324.

 

43.       S. Halperin, Torsion gaps in the homotopy of finite complexes II,

Topology 30 (1991) 471-478.

 

44.       Y. Felix, S. Halperin and J.-C. Thomas, Lie algebras of polynomial growth,

            J. London Math. Soc.  43 (1991) 556-566.

 

45.       Y. Felix, S. Halperin and J.-C. Thomas, Elliptic Hopf algebras,

            J. London Math. Soc. 25 (1991) 545-555.

 

46.       Y. Felix, S. Halperin and J.-C. Thomas, Elliptic spaces,

            Bulletin of the Amer. Math. Soc. 25 (1991) 69-73.

 

47.       Y. Felix, S. Halperin and J.-C. Thomas, Engel elements in the homotopy 

            Lie algebra, J. of Algebra 144 (1991) 67-78.

 

48.       K. Grove and S. Halperin, Proper maps, condition (C) and elliptic isometries,

            Archiv der Math. 56 (1991) 288-299.

 

49.       Y. Felix, S. Halperin and J.-C. Thomas, Adam's cobar equivalence,

            Trans. Amer. Math. Soc. 329 (1992) 531-549.

 

50.       S. Halperin, Universal enveloping algebras and loop

space homology,  J. Pure and Appl. Algebra 83 (1992) 237-282.

 

51.       Y. Felix, S. Halperin and J.-C. Thomas, Torsion in loop space homology,

            J. Reine Angew Math. 432 (1992) 77-92.

 

52.       Y. Felix, S. Halperin and J.-C. Thomas, The category of a map and the grade

of a module, Israel J. Math. 78 (1992) 177-196.

 

53.       Y. Felix, S. Halperin and J.-C. Thomas, Elliptic spaces II,

            L'Enseignement Mathematiques, 39 (1993) 25-32.

 

54.       Y. Felix, S. Halperin and J.-C. Thomas, Hopf algebras and a

            counterexample to a conjecture of Anick, J. Algebra 169 (1994) 176-193.

 

55.       S. Halperin and J.-M. Lemaire, The fibre of a cell attachment,

            J. Edinburgh Math. Soc. 38 (1995) 295-311.

 

56.       Y. Felix, S. Halperin and J.-C. Thomas, Differential graded algebras

            in topology, Chapter 16 in Handbook in Algebraic Topology,

            I.M. James, Editor, Elsevier Science (1995), 829-865.

 

57.       Y. Felix, S. Halperin and J.-M. Lemaire, The rational LS category

            of products and Poincare duality spaces,  Topology 37 (1998) 749-756.

 

58.       A. Gomez-Tato, S. Halperin and D. Tanre, Rational homotopy theory for

non-simply connected spaces,  Trans. Amer. Math. Soc., Vol. 352, No. 4 (1999), 1493-1525.

 

59.       Yves Felix, Steve Halperin  and Jean-Claude Thomas,  The Serre spectral sequence of a multiplicative fibration, Trans. Amer. Math. Soc. 353 (2001), 3803-3831.

60.       Yves Felix,  Steve Halperin and Jean-Claude Thomas, Growth and Lie bracket in the   homotopy Lie algebra, Homology, Homotopy and Applications 4 (2002), 219-225.

61.       Yves Felix, Steve Halperin and Jean-Claude Thomas, Lusternik-Schnirelmann
            category of skeleta, Topology and its Applications 125 (2002), 357-361.

 

62.       Yves Felix, Steve Halperin and Jean-Claude Thomas, Graded Lie algebras with finite    polydepth, Ann. Scient. Ec. Norm Sup. 36 (2003), 793-804.

63.       Yves Felix, Steve Halperin and Jean-Claude Thomas, Torsion primes in loop space   homology, Topology 43 (2004), 493-496.

 64.      Yves Felix, Steve Halperin  and Jean-Claude Thomas, An asymptotic formula for the ranks of homotopy groups, Topology and its Applications, 153 (2006), 3430-3436.

65.       Yves Felix, Steve Halperin and Jean-Claude Thomas, Exponential growth of Lie             algebras of finite global dimension, Proc. of the  Amer. Math. Soc., 135 (2007),

            1575-1578.

66.       Yves Felix, Steve Halperin and Jean-Claude Thomas, The ranks of  the homotopy        groups of a space of finite LS category, Expositiones Math. 25 (2007), 67-76.

 

67.       Yves Felix, Steve Halperin and Jean-Claude Thomas, Exponential growth and an        asymptotic formula for the ranks of  homotopy groups of a finite 1-connected complex,
            Annals of Math. 170 (2009) 443-464.

 

68.       Yves Felix, Steve Halperin and Jean-Claude Thomas, The structure of  homotopy Lie algebras, Comment. Math. Helv. 84 (2009) 807-833.

 

69.       Yves Felix, Steve Halperin and Jean-Claude Thomas, The Ranks of the Homotopy Groups of a Finite Dimensional Complex, Canad J. Math. 65 (2013), 82-119.

 

70.      Y. Felix, Steve Halperin and J.-C. Thomas, On the growth of the homology of a free loop space, PAMQ 9 (2013), 167-187.

 

71.       Y. Felix, Steve Halperin and J.-C. Thomas, Regularity in the loop space homology of a finite CW complex, Proc. Amer. Math. Soc. 142 (2014), 1025-1033.

 

72.       Steve Halperin, The harmonic field of a Riemannian manifold, Journal of Differential Geometry 96 (2014) 61-76.

 

73.       Yves Felix, Steve Halperin and Jean-Claude Thomas, The ranks of the homotopy groups of odd degree of a finite complex, JPAA 219 (2015), 494-501.

 

74.       Y. Felix and S. Halperin, Malcev completions, Depth and LS Category, S.Bol. Soc. Mat. Mex. (2016) 22p. doi:10.1007/s40590-016-0097-7.

 

75.       Yves Félix, Steve Halperin, and Jean-Claude Thomas, On the Growth of the Homology of a Free Loop Space II, Ann Inst. Fourier 67 (2017) 2519-2531.

 

76.       Y. Felix and S. Halperin, Rational Homotopy Theory via Sullivan Models: A Survey, Notices of the ICCM 5 (2017) 14-36.

 

77.       Y. Felix, S. Halperin, The S-depth of a homotopy Lie algebra, Geometry, Topology and Mathematical Physics 1 (2018) 4-26  (in tribute to Jim Stasheff and Dennis Sullivan) 

 

78.       Y. Felix, S. Halperin, The Depth and LS Category of a Topological Space, Math. Scand., 123(2), (2018) 220-238. https://doi.org/10.7146/math.scand.a-1069202018.

 

79.       Y. Felix, S. Halperin, A note on Gorenstein spaces, JPAA 223 (2019) 4937-4953.

 

              

 

 

 

 

Publications in Refereed Conference Proceedings:

 

1.         J.D. Stasheff and S. Halperin, Differential homological algebra in its

            own rite, Proc. Conf. on Alg. Top. at Arhus, August 1970.  Published by  

            Advanced Study Institute, Arhus, Denmark.

 

2.         S. Halperin and D. Lehmann, Cohomologie et classes caracteristiques

            des choux de Bruxelles, Diff. Top. and Geom., Springer, LNM 484, (1975)

            79-120.

 

3.         S. Halperin, The structure of the homotopy Lie algebra of a finite complex,

            in Homotopie Algebrique et Algebre Locale, Asterisque 113/114, (1984)

            109-117.  MR86b:55009.

 

4.         L. Avramov and S. Halperin, On the structure of the Lie algebra of a local

            ring, in Homotopie Algebrique et Algebre Locale, Asterisque 113/114 (1984)

            153-155.  MR85d:55001.

 

5.         C. Allday and S. Halperin, La theorie de Sullivan-de Rham pour la

            cohomologie de Alexander-Spanier, in Homotopie Algebrique et Algebre

            Locale, Asterisque 113/114 (1984), 148-152.  MR86d:55001.

 

6.         S. Halperin, Spaces whose rational homology and rational homotopy are

            both finite dimensional, in Homotopie Algebrique et Algebre Locale,

             Asterisque 113/114 (1984), 198-207.  MR86a:55015.

 

7.         L. Avramov and S. Halperin, Through the looking glass: a dictionary

            between rational homotopy theory and local algebra, in Algebra, Algebraic

            Topology and Their Interactions, Lecture Notes in Mathematics 1183,

            Springer Verlag (1986) 1-27.

 

8.         R. Bogvad and S. Halperin, On a conjecture of Roos, in Algebra, Algebraic

            Topology and Their Interactions, Lecture Notes in Mathematics 1183,

            Springer Verlag (1986), 120-127.

 

9.         Y. Felix, D. Tanre, S. Halperin and J.C. Thomas, The radical of p * (WS) ÄQ,

            in Algebras, Algebraic Topology and Their Interactions, Lecture Notes in

            Mathematics 1183, Springer Verlag (1986), 133-135.

 

10.       S. Halperin, The radical of p * (WS) Ä II, in Algebra, Algebraic Topology

            and Their Interactions, Lecture Notes in Mathematics 1183, Springer Verlag

            (1986), 199-210.

 

11.       S. Halperin and G. Levin, High skeleta of CW complexes, in Algebra,

            Algebraic Topology and Their Interactions, Lecture Notes in Mathematics

            1183, Springer Verlag (1986), 211-217.

 

12.       S. Halperin and J.-M. Lemaire, Notions of category in differential algebra, in

            Algebraic Topology (Rational Homotopy), Proceedings Louvain-la-Neuve

            (Y. Felix, ed.), Springer Lecture Notes in Mathematics 1318 (1988), 138-154.

 

13.       S. Halperin, Le complexe de Koszul en algebre et topologie, Annales de l'Inst.

            Fourier, 37 (1987), 77-97.

 

 

Books and Lecture Notes:

 

1.         W. Greub, S. Halperin and J.R. Vanstone, Connections, Curvature and

            Cohomology, Academic Press, N.Y.: Vol. I, (1972), 443 pp., MR 49 No. 1423.

 

2.         W. Greub, S. Halperin and J.R. Vanstone, Connections, Curvature and

            Cohomology, Academic Press, N.Y.: Vol. II, (1973), 541 pp., MR 49 No. 1424.

 

3.         W. Greub, S. Halperin and J.R. Vanstone, Connections, Curvature and

            Cohomology, Academic Press, N.Y.: Vol. III, (1976), 593 pp., MR 53 No. 4110.

 

4.         Y. Felix , S. Halperin and J.-C. Thomas, Rational Homotopy Theory, Springer Verlag, (2000), 560 pages.

 

5.         S. Halperin, Introduction to Proof in Analysis (2012, revised 2013, 2015, and 2019), a 100 page online textbook for Math 310.

 

6.         Y. Felix , S. Halperin and J.-C. Thomas, Rational Homotopy Theory, Springer Verlag, (reprinted edition 2015), 560 pages.

 

7.         Y. Felix , S. Halperin and J.-C. Thomas, Rational Homotopy Theory II, a research monograph, World Scientific, (2015), 446 pages, ISBN 978-9814651424.

 

 

Work In-progress:

 

Submitted/Accepted:

 

1.     Y. Felix and S. Halperin, The depth of a Riemann surface and of a right-angled Artin group, 34 p., submitted to Journal of Homotopy and Related Structures, 2018

 

2.     S. Halperin, The rational cohomology of a fiber, 3 p., Appendix to A Modified Bott Conjecture in Cohomogenity Two by K. Grove, B. Wilking, and J. Yeager, submitted to Ann. de l’Inst. Fourier, 2018

 

3.     Y. Felix and S. Halperin, Aspherical completions and inert elements, 25 p., submitted to J. Math Soc. Japan 2019

 

 

 

 

 

 

 

 

 

Manuscripts in Preparation:

 

  1.   Y. Felix and S. Halperin, Sullivan completions, 27 p.

 

2.        Y. Felix, S. Halperin, and D. Tanre, Loop space actions via local systems of Sullivan models.

3.      Y. Felix and S. Halperin, Homotopy representation of an H-Space action in a Sullivan model

 

4       Y. Felix and S. Halperin, Enriched Lie Algebras

 

 

 

 

 

 

 

 

 

 

 

 

Mathematics Seminars and Colloquia:

 

            1970    McGill University

            1970    University of Maryland

            1971    University of Alberta

            1972    Memorial University, St. Johns, Newfoundland

            1973    University of Maryland

                        Institute for Advanced Study, Princeton

            1974    Universite de Grenoble

            1975    Temple Universite

                        Odense University

                        Universite de Grenoble

            1976    University of Copenhagen

                        University of Oslo

                        University of Copenhagen

                        University of Grenoble

                        University of North Carolina

            1977    Universite de Geneve

                        Memorial University, St. Johns, Newfoundland

                        University of Toronto

                        University of Warwick

                        University of London

                        Cambridge University

                        University of Leuven

                        Universite de Toulouse

            1978    SUNY, Stony Brook

            1979    University of British Columbia

                        Universite de Lille

                        Universite de Dijon

            1980    University of Illinois (Urbana)

                        Universite de Grenoble

            1981    University of Utah

                        Danish Technical University

                        University of Constance

                        University of Copenhagen

                        University of Sofia

                        University of Stockholm

            1982    University of Malaga

                        University of Bonn

                        Universite de Grenoble

                        Purdue University

                        McMaster University

            1983    University of Illinois (Urbana-Champaign)

                        Queen's University

                        University of Stockholm

                        University of Toronto

            1984    University of Maryland

            1985    Purdue University

                        M.I.T.

                        University of Stockholm

                        Universite de Louvain

            1986    Universite de Grenoble

                        Universite de Lille

                        University of North Carolina (Chapel Hill)

            1987    University of Maryland

                        Universite de Louvain

                        Universite de Lille

                        Ecole Polytechnique, Paris

                        York University

            1988    University of Rochester

                        Universite de'Amiens  

                        Universite de Lille I

                        University of Heidelberg 

                        University of Regensburg 

                        Universite de Louvain

                        Universite de Lille I 

            1989    University of Copenhagen

                        Oxford University

                        University of Malaga

                        York University

            1990    Carleton - University of Ottawa

                        Dartmouth College

                        Wayne State University

            1991    Cleveland University

                        Purdue University

                        Universite de Lille I

                        Universite de Louvain

           

 1992   University of Chicago

                        Fields Institute

            1993    University of Indiana

            1994    Rochester University (declined)

            1995    University of British Columbia

                        Oxford University

                        University of Athens

                        Universite de Nice

                        Universite de Louvain

            1996    Universite de Louvain

                        University of Toronto

            1997    Chinese University of Hong Kong

                        University of Ottawa

            1998    Universite de Montreal

                        University of Western Ontario

            1999    University of Maryland (College Park)

            2002    Northwestern University

            2005    University of Nebraska

            2008    University of Rochester

            2011    University of Pennsylvania

                        University of Maryland (College Park)

                        Notre Dame University

2012    University of Maryland (College Park)

2013    University of Toronto

2016    George Mason University

 

Invited Conference Lectures:

 

            1971    Topology festival, Cornell University: Stiefel Whitney homology classes.

 

            1974    Journees Differentielles (Dijon): Cohomologie et classes caracteristiques

                        des choux de Bruxelles.

 

             1976    Journees Differentielles (Marseille): Minimal models and rational

                         fibrations.

 

             1977    Journees Differentielles (Paris): Geometrie et les modeles minimaux:

                         resultats et problemes ouverts.

 

             1978   Ontario Topology Seminar: Minimal models, an engineering approach to

                         geometry.

 

                         Canadian Math. Society Winter Meeting: Spaces whose rational homotopy

                         and rational homology is finite dimensional.

 

             1980   Special Session of the American Math. Society (Bloomington, IN):

                         A survey of the properties of spaces of type F.

 

             1981   Arbeitstagung on rational homotopy at the University of Bonn:

                         Rational homotopy; the state of the art.

 

             1982   Journees Homotopiques (Marseille): The homotopy Lie algebra.

 

             1983   Princeton Conference on Algebraic Topology in honour of J.C. Moore,

                         The homotopy Lie algebra.

 

                         Nordic Summer School on Algebra, Algebraic Topology and their

                         Interactions: Rational homotopy theory (3 lectures).

 

                         Research Symposium on Algebra, Algebraic Topology and their Interactions:

                         The analogy between local algebras and rational homotopy theory, and

                         The radical of the homotopy Lie algebra.

 

             1984   Special Geometry session at Ontario Math Meeting, “Circle actions and the

                         double mapping cylinder".

 

             1985   Special Session of the C.M.S. on algebraic topology (summer meeting):

                         Circle actions on a connected sum.

 

             1986   Conference on algebraic homotopy, Max Planck Institute for Mathematics

                         (Bonn): The homotopy Lie algebra of a finite complex.

 

                         Conference on algebraic homotopy, Universite de Louvain:

                         The radical of the homotopy Lie algebra is finite dimensional.

 

             1987   Canadian Math. Soc. Summer Meeting: Homotopy groups and local rings

                         (one of the 1-hour, principal lectures).

 

                         Colloque International de Geometrie en l'Honneur de J.L. Koszul:

                         Le complexe de Koszul en algebre et topologie.

 

                         Amer. Math. Society Summer Meeting (Special session on algebraic

                         geometry and commutative rings): The non-vanishing of the deviations of

                         a local ring.

 

             1988   Joint S.M.F.-A.M.S. Conference on Homotopy Theory (Luminy, France):

                         Rational homotopy theory, past, present and future.

 

                         German Mathematical Society Seminar on Algebraic Homotopy Theory

                         (Blaubeuren, W. Germany):  Three lectures on rational homotopy theory.

 

  1989  Rational Homotopy Theory Conference organized by the Czechoslovakia

                         Union of Mathematics and Physics (Cesky Sternberk, Czechoslovakia):

                         Three lectures on rational homotopy theory.

 

                         Ontario Topology Seminar: Rational homotopy mod p.

 

             1990   Seminaire Homotopie, Universite de Lille, Flandres Artois, June 18-20, 1990:

                         Why rational homotopy theory?

 

             1991   Summer School on Geometry and Rational Homotopy Theory

                         Santiago de Compostello, Spain, Three lectures on rational homotopy theory.

 

                         University of Ohio Geometry-Topology Conference, Elliptic Spaces.

 

             1992   Algebraic Topology Conference, Universite Catholique de Louvain,

                         Non simply-connected rational homotopy theory.

 

                         CMS Summer Meeting, Toral actions and betti numbers.

 

1993   Algebraic Homotopy Conference, Ringberg, Germany, Loop space homology at large primes.

 

Amer. Math. Soc. Special Session in Heidelberg, Germany, Toral actions and betti numbers.

 

                         Rational homotopy theory conference, Malaga, Spain,

                         Obstructions to commutative cochains.

 

             1994   Rational homotopy summer school, Nice, France (5 lectures).

 

                         Workshop on Mathematics Education M.E.F.

 

                         O.A.M.E. - lecture on Mathematics Education, Secondary school math teachers,

                         Trisecting the angle and classifying polyhedral.

 

             1995   Ontario Topology Seminar.

 

                        CMS 50th Anniversary, Special session on algebraic topology.

 

             1996   Higher homotopy structures in topology and mathematical physics

                        (in honour of J.D. Stasheff) at Vassar College, Non simply

                        connected rational homotopy theory.

 

                        Topologie Algebrique (Matagne) LS category.

 

                        Fields Institute Workshop Open problems in rational homotopy theory.

 

             1997   Homotopy theory, CIRM Marseille, Growth of homotopy groups.

 

                        CMS Annual meeting, Jeffery-Williams lecture.

 

                        CMS Winter meeting, (Special session on homotopy theory).

     

             1998   CMS Winter meeting, (Special session on homotopy theory).

 

             2005   University of Montreal, Conference in honor of J. Neisendorfer.

 

             2006   University of Maryland, Conference in honor of K. Grove.

 

                        University of Rochester, Conference in honor of J. Moore.

 

             2008   University of Nebraska, Lincoln, Conference in honor of L. Avramov.

 

             2011   Stony Brook, Conference in honor of Dennis Sullivan.

 

             2012   U. of Ottawa, Conference in honor of Yves Felix (3 lectures).

 

Luminy, (CIRM) Conference in honor of Yves Felix (1 lecture).

 

            2015    Fields Institute, Conference in honor of Paul Selick (1 lecture)

 

 

REFEREE REPORTS

 

2011    Journal of K-Theory: Daniel Quillen, the father of abstract homotopy

Theory.

 

2012    International Journal of Mathematics and Mathematical Sciences: Examples of    rational toral rank complex.

 

Algebraic & Geometric Topology:  Fibrewise rational H-spaces.

 

            Duke Mathematical Journal: On fibrations with formal elliptic fibers.

 

2013    Abstract and Applied Analysis: Algebraic structures based on a classifying space of a compact Lie group.

 

Freie Universität Berlin: Proposal for a Junior Research Group.

 

Algebraic and Geometric Topology: A lower bound of the rational cohomological dimension of coformal spaces and of some configuration spaces.

 

Journal of Topology: Cohomological consequences of (almost) free torus actions.

 

Topology and its Applications: A Small Model for the Cohomology of Some Principal Bundles.

 

2015   Topology and its Applications: Sullivan minimal models of classifying spaces for    non-formal spaces of small rank.

 

                        Proceedings of the AMS:  On the Cohomology of Principal Torus Bundles

 

Inventiones: The Halperin, Wahl, and Yau conjectures concerning the non-existence of negative weight derivations on isolated singularities

 

Arabian Journal of Mathematics: A new invariant that's a lower bound of LS-category.

 

2016    Topology and Its Applications: A note on the p-universal spaces in rational homotopy theory.

 

The Journal of the European Mathematical Society: Negative weight derivations and rational homotopy theory.

 

2017   Topology and Its Applications: A note on the p-universal spaces in rational homotopy theory.

    

 

 

TEACHING

 

 Classroom:

 

Fall 2012         Math 310: Introduction to Analysis

Spring 2013    Math 310: Introduction to Analysis

Fall 2013         Math 310: Introduction to Analysis

Spring 2014    Math 310: Introduction to Analysis

Fall 2014         Math 310: Introduction to Analysis

Spring 2015    Math 310: Introduction to Analysis

Fall 2015         Math 310 Introduction to Analysis

Spring 2016    Math 734 Algebraic Topology

Fall 2016         Math 310 Introduction to Proof in Analysis

Spring 2017    On medical leave

Fall 2017         Math 730 Intro to Algebraic Topology

Spring 2018     Math 310 Introduction to Proof in Analysis

 

 

Course Evaluations:

 

Spring 2016 for Math 734

Question: The course was intellectually challenging = 3.60

Question: I learned a lot from this course = 3.60

Question: with the instructor treated students with respect = 3.80

 

Fall 2016 for Math 310

Question: The course was intellectually challenging = 3.78

Question: I learned a lot from this course = 3.39

Question: with the instructor treated students with respect = 3.72

 

Spring 2017  On medical leave

 

 

 

 

 

Thesis Advisor and Post-Doctoral Sponsor: None in last 15 years. Career total: 3 Masters, 8 doctoral, 7 postdoctoral (all prior to 2000).

 

Doctoral:  1972-1975 Chris Watkiss

1977-1978 Francisco Gomez

1976-1978 Micheline Vigue Poirier

1976-1980 Jean Claude Thomas

1982-1987 Barry Jessup

1982-1988 John Goyo

1987-1989 Aniceto Murillo

1995- Jonathan Scott

 

Postdoctoral:

 

1994-95 Katherine Hess

1991-92 S. Wong

1992-93 Lisa Langsetmo

1993-94 Octav Cornea

1995-96 Pascal Lambrechts

1996-97 W. Chachowski

1997-99 Luc Menichi

 

 

Undergraduate advising:  32 students in 2013, 30 students in 2014, 35 students in 2015, 30 students in 2016

 

SERVICE

 

Campus:

 

Chair, UM Senate Committee on Developmental Mathematics, 1999-2000.

Campus Finance Committee, 2000-2001

Academic Planning Advisory Committee (APAC), 2001-2002

Review of OIT, 2002-2003

Facilities Council, 2004-2005

Athletic Council, 2007-2008

Search Committee for VP-CIO, 2003-2004

Search Committee for the VP Administration, 2006-2007

OIT Advisory Council, 2004-2010

Review of OIT, 2009-2010

Committee to review the Herman Report establishing College contributions to the Campus Honors program 2010-2011

Steering Committee, Maryland SeaGrant, Climate Change Forum I – Lost in Translation: Linking Climate Change to Local Communities, 2012-2013

Advisory Committee for the Climate Action Summit 2015-16

Subcommittee of the Committee to revise IP policy, 2016

UMD Senator, 2016-2017

Senate Subcommittee, Academic Programs & Standards 2016-2017

Provost Advisory Committee for Maryland General Initiative on Cybersecurity (MAGiC), 2016-2018

 

College:

 

2007   Organizer, CIRUN Conference, drew more than 400 experts over 2 days from industries as diverse as insurance, agriculture, transportation, human health and national security, and from every discipline of the climate science community. The goal was to get a sense of the need to plan for environmental change. The importance for the country’s economy, ecosystems, infrastructure, public health and population distribution quickly became clear. This assessment has since been reinforced by detailed expert reports from respected national organizations.

 

There was general consensus that efforts should be targeted at providing actionable information to the private sector and local and state governments, and that this would require a new level of interdisciplinary cooperation of climate scientists with other disciplines, and new methods of interaction with decision makers to ensure that the effort is focused on responding to their most essential needs. There was a clear sense that the country has the capacity to build an information system for the environment whose reliability can be assessed and which will support planning in areas of major importance to society. October, 2007

 

2008   Organizer, CIRUN Insurance Workshop, jointly sponsored with the Wharton School of the University of Pennsylvania, brought together nearly 40 leading climate scientists, public policy experts and insurance industry executives over 2 days to identify the insurance industry’s climate‐change information needs, to assess the ability of climate scientists to create the necessary forecasting tools, and to consider the policy implications for the industry.

2011 -   Director, Climate Information Responding to User Needs, an initiative housed in ESSIC with one direct report

 

2012   A CIRUN workshop, jointly sponsored by the NOAA Oceans and Human Health Initiative (OHHI) and the NOAA Climate Program Office, was held at ESSIC on February 21/22, 2012. Scientists from the ocean climate community, and public health officials from State Departments of Health and Departments of Natural Resources in Delaware, Maryland, Virginia and Washington met for two days to discuss methods of providing reliable and actionable monitoring data, forecasts and models for climate and naturally occurring aquatic biological hazards to public health officials, with a focus on dangerous vibrio and harmful alga blooms (HABs) in the Chesapeake Bay.  A companion workshop focusing on the Puget Sound was held in Seattle on March 21/22, 2012.

 

2012   Organizer and host, CIRUN Executive Roundtable:  Climate Information Responding to User Needs, 1 day, 30 participants (7 senior members of the NOAA leadership team and 15 senior representatives from the public sector and major private corporations).

 

2013-2014   Director, Climate Applications Testbed, UMD.

 

2015   Co-PI on a $5M USDA proposal for a Center on Agriculture and Climate

 

2016   Consultant on a NSF  INFEWS Proposal on Climate and Agriculture (funded for $4 million over 4 years).

 

2016-2017   Chair, Search Committee for Director of the Earth System Science Interdisciplinary Center.

 

2019   Reviewer for Dorfman Prize submissions

 

Department

 

2018 Merit Pay Committee

 

 

External:

 

1994-1996, Ontario Council of University Affairs (reports to the Minister of Education).

1995-1996, Board of Directors of the Fields Institute for Research in Mathematical Science.

1996-1998, National Resource Reallocation Committee of the National Science and Engineering

Research Council of Canada.

1996-1999, Mathematical and Physical Sciences Selection Committee, Royal Society of Canada.

1998-1999, Board of Directors of the Fields Institute for Research in Mathematical Science.

1999-2005, Executive Committee, Maryland Applied Information Technology Initiative.

1999-2005, Deep Impact(NASA/JPL) Project Advisory Council.

1999-2010, Executive Committee for the Maryland Space Grant Consortium.

2001-2002, University of Maryland Representative, Council on Federal Relations of the Association of American Universities (AAU).

2001-2011, National Archives and Records Administration Archival Research Coordinating Committee.

2000-2011, Executive Committee, Combined Array for Research in Millimeter-Array                                                 Astronomy (CARMAA) and two terms as Chair.

2001-2002, State Task Force to Study Lighting Efficiency and Light Pollution in Maryland.

2002-2009, University of Maryland member representative to the Association of Universities for Research in Astronomy (AURA).

2003-2005, Advisory Board for the Joint Global Change Research Institute – joint with the                               Pacific Northwest National Laboratory (PNNL).

2004-2005, Advisory Board, Aberdeen High School Science and Math Academy.

2006, Multidisciplinary Assessment Committee for the National 2006 New Initiatives Fund    Competition of the Canada Foundation for Innovation.

2006-2011, Board of Directors for Fraunhofer USA.

2007-2011, Executive Committee, Center for Research and Exploration in Space Science & Technology (CRESST).

2008-2011, Executive committee Co-operative Institute for Climate and Satellites (CICS).

2011-2012, Scientific Committee for a week-long conference at Luminy, France.

2012, Steering, Committee, 3-day Workshop in Hamburg, Germany, Transatlantic Dialogues in    Climate Adaptation, organized by the Aspen Global Change Institute.

2012, Participant, Executive Roundtable Meeting on Climate Normals, National Climatic Data Center, Asheville, N.C.

2013, Member, Writing Group to develop a Collaborative Risk Model Framework, for the National Research Council of the National Academies.

2013, Member, Strategic Planning Committee for the Climate Prediction Center of NOAA.

2014, Member, Strategic Planning Committee for the Climate Program Office of NOAA.

2014 Georgia Technology Institute, Workshop on Climate Science Needed to Support Robust Adaptation Decisions.

2014, Member, External Review Committee, Mathematics Department, University of Virginia.

2015, Member, External Review Committee, Faculty of Science, University of Calgary.

 

 

 

 

 

 

 

updated 02-27-2017