Paul Monsky

Professor Emeritus of Mathematics

monsky@brandeis.edu
781-736-3067
Goldsmith Building, 112

Departments/Programs

Mathematics

Degrees

University of Chicago, Ph.D.
University of Chicago, M.S.
Swarthmore College, B.A.

Expertise

Number theory. Arithmetic algebraic geometry. Commutative algebra.

Awards and Honors

National Science Foundation Scholarship (1957 - 1960)

Scholarship

Monsky, Paul. "Generators and relations for the shallow mod 2 Hecke algebra in levels Gamma_0 (3) and Gamma_0 (5)." (2017): <arXiv:1703.04193 [math.NT]>.

Monsky, Paul. "A characteristic 2 recurrence related to U_3 with a Hecke algebra application." arXiv(mathematics) (2016): <arXiv:NT/1603.03910>.

Monsky, Paul. "A characteristic 2 recurrence related to U_5 with a Hecke algebra application." (2016): <arXiv:1612.01599 [math.NT]>.

Monsky, Paul. "A mod 2 Hecke algebra attached to modular forms of level 5." (2016): <arXiv:1610.07058 [math.NT]>.

Monsky, Paul. "Variations on a lemma of Nicolas and Serre." arXiv(mathematics) (2016): <arXiv:NT/1604.02622>.

Monsky, Paul. "A Hecke algebra attached to mod 2 modular forms of level 3." arXiv(mathematics) (2015): <arXiv:NT/1508.07523>.

Monsky, Paul. "Frobenius' result on simple groups of order (p^3-p)/2." American Mathematical Monthly 120. 8 (October 2013) (2013): 725-732.

Monsky, Paul. "Tight Closure's Failure to Localize-a Self-Contained Exposition." Commutative Algebra, Expository Papers Dedicated to David Eisenbud. Ed. Irena Peeva. New York: Springer, 2013. 593-607.

Monsky, Paul. "Generating functions attached to some infinite matrices." Electronic Journal of Combinatorics 18. 1 (2011)

Monsky, Paul. "Hilbert-Kunz theory for nodal cubics, via sheaves." Journal of Algebra 346. 1 (2011): 180-188.

Monsky, Paul. "The reciprocals of some characteristic 2 "theta series"." arXiv(mathematics) (2011): <arXiv:NT/1107.4137>.

Monsky, Paul (with Holger Brenner). "Tight closure does not commute with localization." Annals of Mathematics 171. 1 (2010): 571-588.

Monsky, Paul and Gessel, Ira M.. "The limit as p--> infinity of the Hilbert-Kunz multiplicity of sum(x_i^(d_i))." arXiv (mathematics) (2010): <arXiv:AC/1007.2004>.

Monsky, Paul. "A Theorem of Lemmermeyer on Class Numbers." arxiv(mathematics) (2010): <arXiv: AC/1009.3990>.

Monsky, Paul. "Disquisitiones Arithmeticae and Online Sequence A108345." arXiv(mathematics) (2010): <arXiv:AC/1009.3985>.

Monsky, Paul (with Charles Jepsen). "Constructing equidissections for certain classes of trapezoids." Discrete Mathematics 308. 23 (2008): 5672-5681.

Monsky, Paul. "Rationality of Hilbert-Kunz functions: A likely counterexample." Michigan Mathematical Journal 57. (2008): 605-613.

Monsky, Paul. "Hilbert-Kunz functions for irreducible plane curves." Journal of Algebra 316. 1 (2007): 326-345.

Monsky,Paul, Texeria, P. "p-fractals and power series II." Journal of Algebra 304 (2006): 237-255.

Monsky,Paul. "Appendix to Nobuo Hara, F-pure thresholds and F-jumping exponents in dimension two." Mathematical Research Letters 13. 5 (2006): 758-760.

Monsky,Paul. "Mason's theorem and syygy gaps." Journal of Algebra 303 (2006): 373-381.

Monsky,Paul. "The Hilbert-Kunz multiplicity of an irreducible trinomial." Journal of Algebra 304 (2006): 1101-1107.

Monsky,Paul. "On the Hilbert-Kunz function of z^D-p_4(x,y)." Journal of Algebra 291. 2 (2005): 350-372.

Monsky,Paul, Huneke, C. McDermott, M. "Hilbert-Kunz functions of normal rings." Mathematical Research Letters 11. 4 (2004): 539-546.

Monsky,Paul, Teixeria, P. "p-fractals and power-series I." Journal of Algebra 280. 2 (2004): 505-535.

Monsky,Paul. "Kepler's first law--a remark." American Mathematical Monthly 111. 4 (2004): 355-356.

Monsky,Paul. "Hilbert-Kunz functions in a family--point S_4 quartics." Journal of Algebra 208. (1998): 343-358.

Monsky,Paul. "Hilbert-Kunz functions in a family--line S_4 quartics." Journal of Algebra 208. (1998): 359-371.

Monsky,Paul. "The Hilbert-Kunz function of a characteristic 2 cubic." Journal of Algebra 197. (1997): 268-277.

Monsky,Paul. "Calculating a trapezoidal spectrum." Amer. Math. Monthly 103. (1996): 500-501.

Monsky,Paul. "Generalizing the Birch-Stephens theorem." Math. Z. 221. (1996): 415-420.

Monsky,Paul. "Appendix to D. R. Heath-Brown, The size of Selmer groups for the congruent number problem-II." Invent. Math. 118. (1994): 365-370.

Monsky,Paul and C. Han. "Some surprising Hilbert-Kunz functions." Math. Z. 214. (1993): 119-135.

Monsky,Paul. "Addendum to O. Heden, "On the modular n-queen problem"." Discrete Mathematics 118. (1993): 293.

Monsky,Paul. "Three constructions of rational points on Y^2=X^3+N*X." Math. Z. (1992): 445-462.

Monsky,Paul. "A conjecture of Stein on plane dissections." Math. Z. (1990): 583-592.

Monsky,Paul. "Mock Heegner points and congruent numbers." Math. Z. (1990): 45-68.

Monsky,Paul. "Simplifying the proof of Dirichlet's theorem." Amer. Math. Monthly 100. (1990): 861-2.

Monsky,Paul. "Fine estimates for the growth of e_n in (Z_p)^d extensions." Advaced Studies in Pure Mathematics (1989): 309-330.

Monsky,Paul. "Class numbers in (Z_p)^d extensions-IV." Math.Z (1987): 547-572.

Monsky,Paul, Math, Z.. "Class numbers in(Z_p)^d extensions-II." Math, Z. (1986): 373-395.

Monsky,Paul. "Class numbers in (Z_p)^d extensions-III." Math. Z. (1986): 491-514.

Monsky,Paul. "The Hilbert-Kunz function." Math. Ann. (1983): 43-49.

Monsky,Paul. "p-ranks of class-groups in (Z_p)^d extensions." Math. Ann. (1983): 509-514.

Monsky,Paul. "Class numbers in (Z_p)^d extensions." Math. Ann. (1981): 235-258.

Monsky,Paul. "On p-adic power series." Math. Ann. (1981): 217-227.

Monsky,Paul. "Some invariants of (Z_p)^d extensions." Math. Ann. (1981): 229-233.

Monsky,Paul. "Finiteness of algebraic DeRham cohomology." AMer. J. of Math. (1972): 237-245.

Monsky,Paul. "Formal Cohomology-III." Annals of Math. (1971): 315-343.

Monsky,Paul. "On dividing a square into triangles." Amer, Math. Monthly (1970): 161-164.

Monsky,Paul. One dimensional formal cohomology. Proc. of Proc. of International Congress of Mathematicians. 1970.

Monsky,Paul. p-adic analysis and zeta functions. Kyoto University (Math Dept.), 1970.

Monsky,Paul and G. Washnitzer. "Formal Cohomology-I." Annals of Math (1968): 181-217.

Monsky,Paul. "Formal Cohomology-II." Annals of Math. (1968): 218-238.

Monsky,Paul and G. Washnitzer. "Some properties of formal schemes." Princeton University (1964).

Monsky,Paul. The construction of formal cohomology sheaves. Proc. of Proc. of the Nat. Acad. of Sci.. 1964.

Monsky,Paul and H. Matsumura. "On the automorphisms of hypersurfaces." J.Math. Kyoto Univ. (1963): 347-361.