# Algebra Seminar

### ISU Algebra Seminar

The ISU Algebra Seminar will meet for the Spring 2022 semester on Thursdays from 12:00 p.m. to 12:50 p.m. via Zoom. **Please follow the Zoom link to the talk by clicking on the date of the talk in the table below.** Please let us know if you would like to give a talk. Everyone is welcome to attend. We make an effort to make the talks accessible for the mathematician on the street. Some of the talks will also be accessible to graduate students.

Announcements of upcoming seminars are sent by e-mail to all members of the ISU math department. If you are not a member of the ISU Math department and if you would like to receive seminar announcements, please send e-mail to gkyamskulna@ilstu.edu (with the k, lna removed).

Click on the semester of interest below for a schedule of talks.

### Spring 2022

Date | Speaker | Title |
---|---|---|

Feb 10 | Sunil Chebolu (ISU) | How many units can a commutative ring have? |

Mar 03 | Michael Lau (Univ Laval, Quebec) | Toda systems for Takiff algebras |

Mar 17 | Devin Akman (Washington U in St. Louis) | De Rham's Theorem from the Derived Perspective |

Mar 31 | Darlayne Addabbo (Univ of Arizona) | Higher Level Zhu Algebras and Applications |

Apr 07 | Kailash Misra (North Carolina State U) | Multiplicities of Maximal weights of some affine Lie algebra modules |

Apr 21 | Andrew Linshaw (Univ of Denver) | Universal objects in vertex algebra theory |

### Fall 2021

Date | Speaker | Title |
---|---|---|

Sept 9 | Gaywalee Yamskulna (ISU) | On Representation Theory of Weyl Vertex Algebra |

Sept 23 | George Seelinger (ISU) | An Update on the Search for Mathieu Subspaces in Matrix Algebras |

Oct 21 | Jordan Disch (Iowa State U) | Generic Gelfand-Tsetlin Representations of Nonstandard Quantized Orthogonal Algebras |

Oct 28 | Lucian Ionescu (ISU) | From Platonic solids to Gravity via Representation Theory |

Nov 11 | Iana Anguelova (Coll of Charleston) | Multilocal identities and chiral algebras |

Nov 18 | Drazen Adamovic (U of Zagreb, Croatia) | On the semisimplicity of the category KL_k for affine vertex superalgebras |

Dec 02 | J. Corry, E. Grimm, A. Hatfield (ISU) | Rings Whose Unit Group is Elementary Abelian |

### Spring 2021

Date | Speaker | Title |
---|---|---|

Jan 28 | Matthew Krauel (Sacramento State U) | Decomposing Jacobi forms into 𝑁=4 characters. |

Feb 04 | Ana Ros Camacho (Cardiff Univ, UK) | Algebra objects in group-theoretical fusion categories |

Feb 18 | Kaiming Zhao (Wilfrid Laurier Univ, Canada) | Simple modules over Witt algebras W_d |

Feb 25 | Michael Penn (Randolph College) | Permutation Orbifolds of Vertex Operator Algebras |

Mar 04 | Jethro van Ekeren (Univ Federal Fluminense, Brazil) | Kac's very strange formula, the Leech lattice, and Schellekens' list |

Mar 18 | Haisheng Li (Rutgers Univ - Camden) | Deforming vertex algebras by module and comodule actions of vertex bialgebras. |

Mar 25 | Gerald Hoehn (Kansas State Univ.) | On the genus of the Moonshine module |

Apr 01 | Andy Schultz (Wellesley College) | Using Galois modules to study absolute Galois groups |

Apr 15 | Dan Christensen (Univ of Western Ontario) | No set of spaces detects isomorphisms in the homotopy category |

### Fall 2020

### Spring 2020

Date | Speaker | Title |
---|---|---|

Jan 30 | Sunil Chebolu (ISU) | Hyperplane Arrangements |

Feb 6 | Sunil Chebolu (ISU) | Hyperplane Arrangements Part II |

Feb 13 | Lucian Ionescu (ISU) | On Galois Theory with an Invitation to Category Theory - Part I |

Feb 20 | Lucian Ionescu (ISU) | On Galois Theory with an Invitation to Category Theory - Part II |

Feb 27 | George Seelinger (ISU) | Some Results on Mathieu Subspaces of Matrix Rings |

Mar 5 | Fusun Akman (ISU) | NUMB3RS |

### Fall 2019

Date | Speaker | Title |
---|---|---|

Sept 12 | Sunil Chebolu (ISU) | The Grothendieck group of a triangulated category. |

Sept 19 | Fusun Akman (ISU) | Group Theory in Symmetries of Gene Regulatory Networks |

Sept 26 | Lucian Ionescu (ISU) | Arithmetic Galois Theory |

Oct 3 | Dan Yan(ISU) | Some Properties of Keller Maps. |

Oct 10 | Gaywalee Yamskulna (ISU) | On Structure of N-graded Vertex Algebras. |

Oct 24 | Darlayne Addabbo (Notre Dame) | Zhu Algebras for Vertex Operator Algebras |

Nov 07 | George Seelinger (ISU) | An Introduction to Eliptic Curve Cryptography |

Nov 14 | Harm Derksen (U of Michigan) | Matrix Invariants and Complexity |

### Spring 2019

Date | Speaker | Title |
---|---|---|

January 23 | Sunil Chebolu (ISU) | Is there an infinite field with an indecomposable multiplicative group? |

Febraury 6 | Fusun Akman (ISU) | Subspace Partitions With Direct Sums II |

February 13 | Lucian Ionescu (ISU) | The Arithmetic of Galois Theory |

February 20 | Lucian Ionescu (ISU) | From Galois Theory to Anabelian Geometry |

March 27 | George Seelinger (ISU) | The Structure of Orthogonal Matrix Invariants |

April 3 | Maurico Medina (Northern Illinois Univ) | A generalization of right hereditary rings |

April 18 (Thursday at 1:00) | Wenhua Zhao (ISU) | The LFED and LNED Conjectures for Univariate Polynomial Algebras |

May 10 (Friday at 11:00) | Arno van den Essen (University of Nijmegen, Netherlands) | The Remarkable Sequence 1,1,1,1,1,1,.... |

### Fall 2018

Date | Speaker | Title |
---|---|---|

September 19 | Sunil Chebolu (ISU) | On the multiplicative groups of fields |

October 4 (Thursday) | Darlayne Addabbo (Notre Dame) | Q-systems and Generalizations in Representation Theory |

October 11 | Tathagata Basak (Iowa State) | A complex ball quotient and the monster |

October 17 | George Seelinger (ISU) | Minimal generating sets of ideals in polynomial rings |

October 24 | Gaywalee Yamskulna (ISU) | Vertex Algebras over Fields of Prime Characteristic |

November 1 Colloquium, STV 401, 1:30 - 2:30 |
Bruce Berndt (U of I) | Living with Ramanujan for Forty Years |

November 8 (Thursday) | Katrina Barron (Notre Dame) | Indecomposable modules for vertex operator algebras and logarithmic conformal field theory |

November 15 (Thursday) | Jonas Hartwig (Iowa State) | Whittaker modules for vertex operator algebras |

November 28 | Lucian Ionescu (ISU) | The Platonic Universe |

### Spring 2018

Date | Speaker | Title |
---|---|---|

February 15 | Fusun Akman (ISU) | Hiding in Plain Sight: Polynomials in Base x |

February 22 | Sunil Chebolu (ISU) | An Overview of Fuch's Problem |

March 1 | Lucian Ionescu (ISU) | Primes and Deformations |

March 8 | Lucian Ionescu (ISU) | Primes and Irreducibles |

March 22 | George Seelinger (ISU) | Division Algebras and Related Structures |

March 29 | Gaywalee Yamskulna (ISU) | When Beauty and her cousins meet Mathieu-Zhao |

April 5 | Algebra Seminar is Cancelled today | Cancelled |

April 12 | Wenhua Zhao (ISU) | The LFED and LNED Conjectures for Algebraic Algebras |

### Fall 2017

Date | Speaker | Title |
---|---|---|

September 7 | Sunil Chebolu | Organizational Meeting / Fuch's Problem for finite p-groups, Part I |

September 14 | Sunil Chebolu | Fuch's Problem for finite p-groups, Part II |

September 21 | Lucian Ionescu | Constructible Numbers and Periods (Part I) |

September 28 | Lucian Ionescu | Quaternions, Octonions, and Their Applications |

October 5 | Neil Christensen (Physics Dept) | Algebras in Particle Physics-Part II |

October 12 | Neil Christensen (Physics Dept) | Scattering Amplitudes Without Fields |

October 19 | Wenhua Zhao | Recent Developments on Mathieu Subspaces I |

October 26 | Wenhua Zhao (ISU) | Recent Developments on Mathieu Subspaces II |

November 2 | Mathew Speck | Mathieu-Zhao Subspaces of Commutative Vertex Algebras |

November 9 | Gaywalee Yamskulna | From Vertex Algebras to Mock Theta Functions |

November 16 | George Seelinger | From Algebraic Geometry to Quantum Groups and Beyond |

November 30 | Matt Speck and Shelby Bush | Counting Mathieu-Zhao Subspaces of (Fp )n |

### Spring 2017

Date | Speaker | Title |
---|---|---|

February 15 | Lucian Ionescu | Periods, Feynman integrals and Jacobi sums |

February 22 | Trevor McGuire (IWU) | TBA |

March 1 | Sunil Chebolu | TBA |

March 8 | Sunil Chebolu | TBA |

March 22 | Alberto Delgado | TBA |

March 29 | George Seelinger | TBA |

April 6 (Thursday) 12-12:50, STV 436 |
Neil Christensen (ISU Physics) | TBA |

April 12 | Gaywalee Yamskulna | TBA |

April 19 | Lindsay Henderson | TBA |

April 26 | Matt Speck, Richard Sumitro | TBA |

### Fall 2016

Date | Speaker | Title |
---|---|---|

September 7 | Sunil Chebolu | Recent Progress on Fuch's Problem (Part I) |

September 14 | Sunil Chebolu | Recent Progress on Fuch's Problem (Part II) |

September 22 | Lucian Ionescu | On Discrete De Rham Cohomology |

September 29 | Lucian Ionescu | Gauss and Jacobi sums |

October 5 | Gaywalee Yamskulna | N = 4 Conformal Super Algebra and Mathieu Moonshine Conjecture |

October 12 | Amita Malik (UIUC) | p-adic Properties of Sporadic Apery-like Numbers |

October 19 | George Seelinger | Affine Toric Varieties and Zero Sums - I |

October 26 | George Seelinger | Affine Toric Varieties and Zero Sums - II |

November 2 | Alberto Delgado | Construction of the Mathieu group M24 |

November 9 | Fusun Akman | Spectral Graph Theory in Gene Regulatory Networks |

November 16 | Fusun Akman | Spectral Graph Theory in Gene Regulatory Networks: Part II |

November 30 | Alberto Delgado | Using Error - Correcting Codes to construct the Mathieu group M24 |

### Spring 2013

Date | Speaker | Title |
---|---|---|

February 4 | Lucian Ionescu | The Prime Number Theorem |

February 11 | George Seelinger | Introduction to vector space partitions over finite fields |

February 18 | TBA | TBA |

February 25 | Claudio Quadrelli | Galois pro-p groups on a diet of roots of the field |

### Fall 2012

Date | Speaker | Title |
---|---|---|

August 28 | Sunil Chebolu | What is special about the devisors of 12? |

September 4 | Gail Yamskulna | Shifted Theory of vertex operator algebras |

September 11 | Lucian Lonescu | What a finite field is, really! |

October 23 | Timothy Comar (Benedictine University) | Biological Models using Impulsive differential equations |

October 30 | George Seelinger |

### Spring 2012

Date | Speaker | Title |
---|---|---|

April 3rd | Michael Mayers | Diagonal Property for rings |

April 10th | Amber Anderson | Applications of Pick's theorem |

April 17th | Jill Horne | Algebraic coding |

### Fall 2011

Date | Speaker | Title |
---|---|---|

October 4 | Lucian Lonescu | On prime numbers and multiplicative duality |

October 11 | Lucian Lonescu | What is an algebraic quantum group? |

October 18 | Wenhua Zhao | Recent Developments of Mathieu Subspaces |

October 25 | Wenhua Zhao | Recent Developments of Mathieu Subspaces |

November 1 | Pisheng Ding (and Lucian Lonescu) | The Hopf Algebra of Representative Functions |

November 8 | Jon Carlson (Univ. of Georgia) | Classifying THick Subcategories of the Stable Category |

November 15 | Lucian Lonescu | The group algebra of the rationals is an algebraic quantum group ( Link to Slides ) |

November 22 | Thanksgiving break | No Talk |

November 29 | Sunil Chebolu | Finite Generation of Tate Cohomology: Recent Developments |

December 6 |

### Spring 2011

Date | Speaker | Title |
---|---|---|

February 15 | Sunil Chebolu (ISU) | Undergraduate Research: Problems in Lattice Point Geometry |

February 22 | Sunil Chebolu (ISU) | Undergraduate Research: n-Numbers Game |

March 1 | Fusan Akman (ISU) | Comparing Integer and Gaussian Partitions |

March 8 | Spring Break | No Talk |

March 15 | Gaywalee Yamskulna (ISU) | Development in the theory of shifted vertex operator algebras (Talk Cancelled) |

March 22 | Sunil Chebolu (ISU) | A Strong Generating Hypothesis |

March 29 |

### Fall 2010

Date | Speaker | Title |
---|---|---|

August 17 | Keir Lockridge (Wake Forest University) | Homological dimensions of ring spectra |

August 24 | Geoff Mason (Univ. of California at Santa Cruz) | In pursuit of modularity |

August 31 | Sunil Chebolu | In pursuit of modularity |

September 7 | Sunil Chebolu (ISU) | The Witt Cancellation Theorem |

September 14 | Lucian Lonescu (ISU) | Hodge Theory on projective manifolds |

September 21 | Jim Parr (ISU) | Subgroups of Q^2 II |

September 28 | Jim Parr (ISU) | Subgroups of Q^2 II |

October 5 | Sunil Chebolu (ISU) | On a small quotient of the big absolute Galois group |

October 12 | Lucian Lonescu (ISU) | Overview of Hodge Theory |

October 18 (3:00 PM) | Tony Giaquinto (Loyola University Chicago) | Meanders and principal elements of Frobenius Seaweed Lie algebras |

October 27 (7:00 PM) | Roger B. Eggleton (ISU) | Colourful trees, Sudoku, and Mathematics |

November 2 | Lucian Lonescu (ISU) | The mathematics of a 2D "Electromagnetism" |

November 9 | Michael Geline (NIU) | Sources of irreducible lattices and Brauer's height zero conjecture |

November 16 | No Talk | No Talk |

November 23 | Thanksgiving Break | No Talk |

November 30 | Robert Bernales (ISU) | Density of visible Lattice Points (Master's Project) |

December 7 | Maria Paduret (ISU) | Quadratic Reciprocity in the Ring of Eisenstein Integers (Masters Project) |

### Spring 2010

Date | Speaker | Title |
---|---|---|

January 19 | Sunil K. Chebolu | A new geodesic proof of a formula of Gauss PREPRINT |

January 26 | Karl Rubin, Ken Ribet, John Conway -- MSRI video | Fermat's Last Theorem - The Theorem and It's Proof: An exploration of Issues |

February 2 | Georgia Benkart (University of Wisconsin-Madison) -- MSRI video | Fermat's Last Theorem - Theorem and It's Proof: An exploration of Issues and Ideas |

February 9 | Gaywalee Yamskulna | Relationships between Commutative associative algebras, finite dimensional Lie algebras and vertex operator algebras I |

February 16 | Gaywalee Yamskulna | Relationships between Commutative associative algebras, finite dimensional Lie algebras and vertex operator algebras II |

February 23 |