Harry Tamvakis
Papers and Preprints
- Bott-Chern forms and arithmetic intersections,
ps pdf
Enseign. Math. 43 (1997), 34-54.
- Arithmetic intersection theory on flag varieties,
ps pdf
Math. Annalen 314 no. 4 (1999), 641-665.
- Schubert calculus on the arithmetic Grassmannian,
ps pdf
Duke Math. J. 98 no. 3 (1999), 421-443.
- Arakelov theory of the Lagrangian Grassmannian,
ps pdf
J. reine angew. Math. 516 (1999), 207-223.
- Height formulas for homogeneous varieties,
ps pdf
Michigan Math. J. 48 (2000), 593-610.
- Standard conjectures for the arithmetic
Grassmannian G(2,N) and Racah polynomials,
ps pdf
(with Andrew Kresch),
Duke Math. J. 110 no. 2 (2001), 359-376.
- The Hodge star operator on Schubert forms,
ps pdf
(with Klaus Künnemann), Topology
41 no. 5 (2002), 945-960.
- Double Schubert polynomials and
degeneracy loci for the classical groups,
ps pdf
(with Andrew Kresch), Annales Inst.
Fourier 52 no. 6 (2002), 1681-1727.
- Quantum cohomology of the Lagrangian Grassmannian,
ps pdf
(with Andrew Kresch), J. Algebraic
Geometry 12 (2003), 777-810.
- Gromov-Witten invariants on Grassmannians,
ps pdf
(with
Anders S. Buch and Andrew Kresch), J.
Amer. Math. Soc. 16 (2003), 901-915.
- Quantum cohomology of orthogonal Grassmannians,
ps pdf
(with Andrew Kresch), Compositio Math. 140 (2004),
482-500.
- Schubert polynomials and quiver formulas,
ps pdf
(with Anders S. Buch, Andrew Kresch, and Alexander Yong),
Duke Math. J. 122 no. 1 (2004), 125-143.
- Littlewood-Richardson rules for Grassmannians,
ps pdf
(with Anders S. Buch and Andrew Kresch), Adv. in
Math. 185 no. 1 (2004), 80-90.
- The connection between representation
theory and Schubert calculus,
ps pdf
Enseign. Math. 50 (2004), 267-286.
- Gromov-Witten invariants and quantum cohomology of
Grassmannians,
ps pdf
"Topics in Cohomological Studies of Algebraic
Varieties", 271-297,
Trends in Math., Birkhäuser, 2005.
- Quantum cohomology of isotropic Grassmannians,
ps pdf
"Geometric Methods in Algebra and Number
Theory", 311-338,
Progress in Math. 235, Birkhäuser, 2005.
- Topological symmetry groups of graphs embedded in the 3-sphere,
ps pdf
(with
Erica
Flapan, Ramin Naimi,
and James
Pommersheim),
Comment. Math. Helv. 80 (2005),
317-354.
- Grothendieck polynomials and quiver formulas,
ps pdf
(with Anders S. Buch, Andrew Kresch, and Alexander Yong),
American J. Math. 127 (2005), 551-567.
- Topological symmetry groups of complete graphs
in the 3-sphere, ps
pdf
(with Erica Flapan and Ramin Naimi),
J. Lond. Math. Soc. 73 (2006), 237-251.
- Quantum cohomology of homogeneous varieties: a survey,
ps pdf
in "Algebraic Groups", Oberwolfach Rep. 4 (2007), 1212-1219.
- Arakelov theory of even orthogonal Grassmannians,
ps pdf
Comment. Math. Helv. 82 (2007), 455-475.
- Stable Grothendieck polynomials and K-theoretic factor sequences,
ps
pdf
(with Anders S. Buch, Andrew Kresch,
Mark Shimozono,
and Alexander Yong),
Math. Annalen 340 no. 2 (2008), 359-382.
- Quantum Pieri rules for isotropic Grassmannians,
ps pdf
(with Anders S. Buch and Andrew Kresch),
Invent. Math. 178 (2009), 345-405.
- Schubert polynomials and Arakelov theory of symplectic flag
varieties,
ps pdf
J. Lond. Math. Soc. 82 (2010), 89-109.
- Giambelli, Pieri, and tableau formulas via raising operators,
ps pdf
J. reine angew. Math. 652 (2011), 207-244.
- Schubert polynomials and Arakelov theory of orthogonal flag
varieties,
ps pdf
Math. Zeitschrift 268 (2011), 355-370.
- The theory of Schur polynomials revisited,
ps pdf
Enseign. Math. 58 (2012), 147-163.
- Quantum Giambelli formulas for isotropic Grassmannians,
ps pdf
(with Anders S. Buch and Andrew Kresch), Math. Annalen
354 (2012), 801-812.
- Topological symmetry groups of graphs in 3-manifolds,
ps pdf
(with Erica Flapan), Proc. Amer. Math. Soc. 141
(2013), 1423-1436.
- A Giambelli formula for classical G/P spaces,
ps pdf
J. Algebraic Geometry 23 (2014), 245-278.
- A tableau formula for eta polynomials,
ps pdf
Math. Annalen 358 (2014), 1005-1029.
- Mathematics is a quest for truth,
ps pdf
Notices Amer. Math. Soc. 61 (2014), p. 703.
- A Giambelli formula for even orthogonal Grassmannians,
ps pdf
(with Anders S. Buch and Andrew Kresch),
J. reine angew. Math. 708 (2015), 17-48.
- Giambelli and degeneracy locus formulas for classical G/P spaces,
ps pdf
Mosc. Math. J. 16 (2016), 125-177.
- Double theta polynomials and equivariant Giambelli formulas,
ps pdf
(with Elizabeth Wilson), Math. Proc. Cambridge Philos. Soc.
160 (2016), 353-377.
- Double eta polynomials and equivariant Giambelli formulas,
ps pdf
J. Lond. Math. Soc. 94 (2016), 209-229.
- The puzzle conjecture for the cohomology of two-step flag manifolds,
ps pdf
(with Anders S. Buch, Andrew Kresch, and
Kevin Purbhoo),
J. Algebraic Combin. 44 (2016), 973-1007.
- A Giambelli formula for isotropic Grassmannians,
ps pdf
(with Anders S. Buch and Andrew Kresch), Selecta Math. (N.S.)
23 (2017), 869-914.
- Schubert polynomials and degeneracy locus formulas,
ps pdf
"Schubert Varieties, Equivariant Cohomology and Characteristic
Classes", 261-314,
EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2018.
- Theta and eta polynomials in geometry, Lie theory, and combinatorics,
ps pdf
"First Congress of Greek Mathematicians", 243-284,
De Gruyter Proc. Math., De Gruyter, Berlin, 2020.
- Schubert polynomials, theta and eta polynomials, and Weyl group
invariants, ps pdf
Mosc. Math. J. 21 (2021), 191-226.
- Degeneracy locus formulas for amenable Weyl group elements,
ps pdf
Preprint 2019, 42 pages.
- The roots of mathematical thought,
ps pdf
Preprint 2020, 10 pages.
- Tableau formulas for skew Schubert polynomials,
ps pdf
Bull. Lond. Math. Soc. 55 (2023), 1926-1943.
- Tableau formulas for skew Grothendieck polynomials,
ps pdf
J. Math. Soc. Japan 76 (2024), 147-172.