Thomas R. Shemanske

Academic Appointments

Professor of Mathematics

603-646-3179
337 Kemeny Hall
HB 6188
Department(s): 
Mathematics
Education: 
A.B. Cornell University
M.A. University of Rochester
Ph.D. University of Rochester

Selected Publications

Modern Cryptography and Elliptic Curves:  A Beginner's Guide, American Mathematical Society, Student Mathematical Library 83, (2017), 252 pages

(with B. Linowitz)   Local Selectivity of Orders in Central Simple Algebras, International J. Number Theory 13(4), 2017, 853-884.

(with B. Linowitz) Embedding Orders in Central Simple Algebras, Journal de theorie des nombres de Bordeaux, 24, no. 2 (2012), 405 -- 424.

Split Orders and Convex Polytopes in Buildings, J. Number Theory , 30 (1), 2010, 101 -- 115.

(with S. Treneer, L. Walling) Constructing Simultaneous Hecke Eigenforms, International J. Number Theory 6 (5), 2010, 1117 -- 1137.

(with N. Ryan) Inverting the Satake Map for $Sp_n$ and applications to Hecke Operators, Ramanujan J. 17 (2), 2008, 219 -- 244.

“The Arithmetic and Combinatorics of Buildings for Sp_n ,” Transactions AMS 359, (2007), 3409 -- 3423.

Works in progress

Applications of buildings to the arithmetic of orders in central simple algebras.