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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 computeraided design! Our results yield uncannily accurate predictions that agree with numerical computations, along with some totally unexpected byproducts. Partially supported by NSF Grants DMS1800123 and DMS2054002. Joint work with A. Böttcher, M. Omar, C. O’Neill, and undergraduate students G. Udell (’21), T. Wesley (’21), S. Yih (’18).

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 TicTacToe 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
HananiTutte Theorem on Surfaces 
Radoslav Fulek University of Arizona 
Fall 2019  
13 November 2019 
Applications of Cayley Digraphs to Waring’s Problem and SumProduct 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 
Doptimal 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 FernándezMerchant 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 WisconsinMilwaukee 
Fall 2015  
18 November 2015 
Spherical designs and lattices 
Hiren Maharaj Pomona College 
28 October 2015 
Climbing the tower of covers to understand ${\pi}_{1}$ 
Katherine F. Stevenson California State University, Northridge 
Spring 2015  
29 April 2015 
Solving quadratic equations over $\mathbf{Q}$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 
AnneMaria ErnvallHytönen University of Helsinki 