CSUN Algebra, Number Theory, and Discrete Mathematics Seminar

at the Department of Mathematics, California State University, Northridge



Our Next Talk
    Wednesday    13 April 2022    2:00 pm–3:00 pm    via Zoom meeting

    Stephan Ramon Garcia
    Pomona College

    Factorization lengths in numerical semigroups

    Numerical semigroups are simple combinatorial objects that lead to deep and subtle questions. We answer in one fell swoop virtually all asymptotic questions about factorization lengths in numerical semigroups. Surprisingly, this uses tools from complex, harmonic, and functional analysis, probability theory, algebraic combinatorics, and computer-aided design! Our results yield uncannily accurate predictions that agree with numerical computations, along with some totally unexpected byproducts.

    Partially supported by NSF Grants DMS-1800123 and DMS-2054002. Joint work with A. Böttcher, M. Omar, C. O’Neill, and undergraduate students G. Udell (’21), T. Wesley (’21), S. Yih (’18).



Directions: If you wish to attend this seminar, please
use the email adress below to request the link.

For more information, or to suggest a speaker, contact Daniel Katz
(email: [first name] [dot] [last name] [at] csun [dot] edu).


Schedule of Talks
Spring 2022
13 April 2022 Factorization lengths
in numerical semigroups
Stephan Ramon Garcia
Pomona College
Fall 2021
01 December 2021 Quantify conjugacy
of lamplighter groups
Mark Pengitore
University of Virginia
16 September 2021 Pairing Strategies for Tic-Tac-Toe
on the Boolean Hypercube
Eric Sundberg
Occidental College
Spring 2021
28 April 2021 Languages, Alphabets, and Group Theory
Gizem Karaali
Pomona College
Fall 2020
14 October 2020 On the number of crossings
of convex drawings of graphs
Bernardo Ábrego
California State University, Northridge
Spring 2020
11 March 2020 Toward an Approximate Version of the
Hanani-Tutte Theorem on Surfaces
Radoslav Fulek
University of Arizona
Fall 2019
13 November 2019 Applications of Cayley Digraphs to Waring’s
Problem and Sum-Product Formulas
Yeşi̇m Demi̇roğlu Karabulut
Harvey Mudd College
31 October 2019 Kříž’s Theorem via dynamics
of linear operators
Yunied Puig de Dios
University of California, Riverside
22 October 2019 On the interplay of operator
theory and combinatorics
Yunied Puig de Dios
University of California, Riverside
Spring 2019
24 April 2019 Quotient Rings of Prime Rings
Jerry Rosen
California State University, Northridge
10 April 2019 Binomial Probability of
Prime Number of Successes
Sungjin Kim
California State University, Northridge
Fall 2018
14 November 2018 Small representations of integers
by integral quadratic forms
Lenny Fukshansky
Claremont McKenna College
24 October 2018 D-optimal weighing designs
Michael G. Neubauer
California State University, Northridge
Spring 2018
02 May 2018 On normal generation of
line bundles on a surface
Lei Song
University of California, Riverside
28 March 2018 Counting objects in algebraic
geometry via symmetries
Jason Lo
California State University, Northridge
07 March 2018 Reversed Dickson
permutation polynomials
Neranga Fernando
Northeastern University
Fall 2017
21 November 2017 Gershgorin’s disks
Imre Bárány
Rényi Mathematical Institute, Hungarian Academy of Sciences
and University College London
08 November 2017 Recognizing Weak
Embeddings of Graphs
Csaba D. Tóth
California State University, Northridge
13 September 2017 Belyi maps and dynamics
Irene Bouw
Institute of Pure Mathematics
Ulm University
Spring 2017
12 April 2017 Twisted differential maps and
differential algebraic independence
Wai Yan Pong
California State University, Dominguez Hills
11 April 2017 Stable bundle/sheaf/complex
and Bogomolov inequalities
Cristian Martinez
University of California, Santa Barbara
29 March 2017 Book Crossing Numbers
of Complete Graphs
Silvia Fernández-Merchant
California State University, Northridge
Fall 2016
16 November 2016 Peak Polynomials: Positivity
and Generalizations to Graphs
Mohamed Omar
Harvey Mudd College
31 October 2016 Hasse principle and
norm equations
Eva Bayer
École Polytechnique Fédérale de Lausanne
Spring 2016
20 April 2016 Generation Problems for
Classical Algebraic Groups
Spencer Gerhardt
University of Southern California
24 February 2016 Lattice spanners of low degree
Adrian Dumitrescu
University of Wisconsin-Milwaukee
Fall 2015
18 November 2015 Spherical designs and lattices
Hiren Maharaj
Pomona College
28 October 2015 Climbing the tower of
covers to understand π1
Katherine F. Stevenson
California State University, Northridge
Spring 2015
29 April 2015 Solving quadratic
equations over Q-bar
Lenny Fukshansky
Claremont McKenna College
25 March 2015 Children’s drawings, flat refinements, and geometric
construction of number fields with controlled ramification
Majid Hadian
California Institute of Technology
18 March 2015 Arc diagrams, flip distances,
and Hamiltonian triangulations
Michael Hoffmann
Eidgenössische Technische Hochschule (ETH) Zürich
04 March 2015 Lattices from function fields and
lattices from finite Abelian groups
Hiren Maharaj
Pomona College
25 February 2015 Elementary Matrix Theory and Azumaya Algebras
in the (Dis)Service of Wireless Communication
Bharath A. Sethuraman
California State University, Northridge
Fall 2014
03 December 2014 Unimodular congruence of the
Laplacian matrix for a graph
William Watkins
California State University, Northridge
12 November 2014 Maximizing the number
of copies of a pattern
Bernardo Ábrego
California State University, Northridge
15 October 2014 On Modular forms and
their applications
Anne-Maria Ernvall-Hytönen
University of Helsinki