Paul E. Gunnells

University of Massachusetts Amherst — United States

Mathematics · Physical Sciences

18h-index850citations145works0.02yr avg
OpenAlex↗ORCID↗Google Scholar↗Lab page↗

Accepting Students?

No reports yet. Know if this professor is taking students?

Research Topics

Advanced Algebra and Geometry(94), Algebraic Geometry and Number Theory(70), Algebraic structures and combinatorial models(33), Finite Group Theory Research(32), Advanced Combinatorial Mathematics(28)

Publications145 total

Explicit sharbly cycles at the virtual cohomological dimension for $$\textrm{SL}_n(\mathbb {Z})$$
Journal of Homotopy and Related Structures·2025
Cohomology with Sym coefficients for congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and Galois representations
Journal of Algebra·2025
On the Cohomology of GL <sub>2</sub> and SL <sub>2</sub> over Imaginary Quadratic Fields
Experimental Mathematics·2024Open Access
Hypergraph matrix models and generating functions
Combinatorics and Number Theory·2024
Cohomology with Sym^g coefficients for congruence subgroups of SL_4(Z) and Galois representations
arXiv (Cornell University)·2024Open Access
Explicit sharbly cycles at the virtual cohomological dimension for SL_n(Z)
arXiv (Cornell University)·2024Open Access
On the cohomology of GL_2 and SL_2 over imaginary quadratic fields
arXiv (Cornell University)·2023Open Access
ℵ-structures: One-way Actions via Holomorphs and Split Extensions with Cryptographic Applications
Series on computers and operations research·2023
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects 1
HAL (Le Centre pour la Communication Scientifique Directe)·2022Open Access
Low-Dimensional Topology and Number Theory
Oberwolfach Reports·2021
Generalized Catalan Numbers from Hypergraphs
The Electronic Journal of Combinatorics·2021· 1 citedOpen Access
Hypergraph Matrix Models
Moscow Mathematical Journal·2021· 1 cited
WalnutDSA™: a group theoretic digital signature algorithm
International Journal of Computer Mathematics Computer Systems Theory·2020· 4 cited
Ironwood meta key agreement and authentication protocol
Advances in Mathematics of Communications·2020· 4 citedOpen Access
Cohomology with twisted one-dimensional coefficients for congruence subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and Galois representations
Journal of Algebra·2020· 3 cited
Weighted Lattice Point Sums in Lattice Polytopes, Unifying Dehn–Sommerville and Ehrhart–Macdonald
Discrete & Computational Geometry·2020Open Access
On the Cohomology of Congruence Subgroups of GL<sub>3</sub> over the Eisenstein Integers
Experimental Mathematics·2019· 4 cited
Defeating the Hart, Kim, Micheli, Pascuel-Perez, Petit, Quek Attack on WalnutDSA(TM).
IACR Cryptology ePrint Archive·2019
Defeating the Hart et al, Beullens-Blackburn, Kotov-Menshov-Ushakov, and Merz-Petit Attacks on WalnutDSA(TM).
IACR Cryptology ePrint Archive·2019· 1 cited
Tiered trees, weights, and q-Eulerian numbers
Journal of Combinatorial Theory Series A·2018· 9 cited
page 1 of 8Next →

Frequent Co-authors

Mark McConnell(9), Avner Ash(8), Gautam Chinta(7), Dan Yasaki(6), Lev Borisov(5), Dorian Goldfeld(5), Iris Anshel(4), Derek Atkins(4), Ben Brubaker(2), Daniel Bump(2), Solomon Friedberg(2), Anna Puskás(2), Richard A. Scott(2), Robert Sczech(1), Mathieu Dutour Sikirić(1), Herbert Gangl(1), Jonathan Hanke(1), Annette Schürmann(1), Farshid Hajir(1), Mikhail Belolipetsky(1)