Samuel Bloom

Doctoral Candidate in Mathematics

University of Maryland, College Park

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:**

**"Almost prime values of the order of generic abelian varieties over finite fields,"**in preparation.**"The square sieve and a Lang-Trotter question for generic abelian varieties,"**arXiv:1702.03017 (2017).- 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)-LiMnO**J. Power Sources, 294 (2015) 711-718._{3 }(1-x)-LiNi_{a}Mn_{b}Co_{c}O_{2}: A Combinatorial Synthesis Approach,"