
Office: 341 Illini Hall
e-mail: mdewar2@math.uiuc.edu
Research Interests:
Modular forms, Jacobi forms, harmonic weak Maass forms. My advisor is Scott Ahlgren.
Publications:
| [9] | Michael Dewar. Non-existence of Ramanujan congruences in modular forms of level four. Submitted. 2009 |
| [8] | Michael Dewar. On the non-existence of simple congruences for quotients of Eisenstein series. Submitted. 2009 |
| [7] | Michael Dewar and Olav Richter. Ramanujan congruences for Siegel modular forms. Int. J. Number Theory, to appear. |
| [6] | Michael Dewar. The nonholomorphic parts of certain weak Maass forms. J. Number Theory (2010), doi:10.1016/j.jnt.2009.09.019. |
| [5] | Michael Dewar, Lucia Moura, Daniel Panario, Brett Stevens, and Qiang Wang. Division of trinomials by pentanomials and orthogonal arrays. Des. Codes Cryptogr., 45(1):1-17, 2007. |
| [4] | Stephen D. Cohen, Michael Dewar, John B. Friedlander, Daniel Panario, and Igor E. Shparlinski. Polynomial Gauss sums. Proc. Amer. Math. Soc., 133(8):2225-2231 (electronic), 2005. |
| [3] | Michael Dewar, Daniel Panario, and Igor E. Shparlinski. Distribution of exponential functions with k-full exponent modulo a prime. Indag. Math. (N.S.), 15(4):497-503, 2004. |
| [2] | Michael Dewar and Daniel Panario. Mutual irreducibility of certain polynomials. In Finite fields and applications, volume 2948 of Lecture Notes in Comput. Sci., pages 59-68. Springer, Berlin, 2004. |
| [1] | Michael Dewar and Daniel Panario. Linear transformation shift registers. IEEE Trans. Inform. Theory, 49(8):2047-2052, 2003. |
Teaching:
Math 231 EE1, Calculus II, Fall
2009.
Old course notes from Math 370X,
Actuarial Problem Solving.