Hi! I study number theory and algebraic geometry. I'm interested in abelian varieties over number fields and finite fields, low-genus curves, Galois representations, modular forms, and applications in cryptography. My advisor is Larry Washington. I am currently the President of the Directed Reading Program at UMD.  

You can contact me at bloom@math.umd.edu. My office is Room 4400 in the Mathematics Building. My office hours for MATH 140 (Fall 2017) are Tuesdays and Thursdays, 1:00-2:00pm, and by email appointment.  

You can find my CV here (and a one-page Resume here). They were last updated in August 2017.  

I fence at the DC Fencers Club. I am an organizer of Tikkun Leil Shabbat.  

PUBLICATIONS AND PREPRINTS:

  1. "Almost prime values of the order of generic abelian varieties over finite fields," in preparation.
  2. "The square sieve and a Lang-Trotter question for generic abelian varieties," arXiv:1702.03017 (2017).
  3. with A. Vu, Y. Qin, C.-K. Lin, A. Abouimrane, A. K. Burrell, D. Bass, J. Bareno, I. Bloom, "Effect of Composition on the Voltage Fade Phenomenon in Lithium-, Manganese-Rich (x)-LiMnO3 (1-x)-LiNiaMnbCocO2: A Combinatorial Synthesis Approach," J. Power Sources, 294 (2015) 711-718.