From Fall 2017- Spring 2019, I organized a weekly seminar at TTU. Some of the topics discussed were Clifford algebras, noncommutative algebraic geometry, and Groebner bases. The talks provided our students an opportunity to practice their presentation skills in a relaxed setting. From Summer 2020-Spring 2021, I organized a virtual learning group with participation from colleagues in noncommutative algebra across the U.S. Since Spring 2022, funded by AIM, I am co-organizing a SQuaREs until Summer 2024.
Poisson Structures Learning Group, Summer 2020 - Spring 2021 (meeting virtually once weekly)
Participants took turns in presenting material from Laurent-Gengoux, Pichereau, & Vanhaecke's book on Poisson Structures. (Schedule)
Algebra Seminar, Spring 2019 (every other Friday @ 2:30 pm in BR 305)
01/25: Parametrizations of Affine Varieties over Infinite Fields by Jessica Cain & Sam Hines
02/08: Properties of the Matrix Pseudoinverse by Andrew Lounsbury (undergraduate student)
02/22: Quadratic forms on n Generators of mu-rank two by Jessica Cain
03/15: No talk
03/22: The pseudo-inverse of a matrix by Rafal Ablamowicz
03/29: No talk
04/05: Hilbert Series and Molien’s Theorem by Sam Hines
04/12: No talk
04/19: Last talk of the semester
Algebra Seminar, Fall 2018 (Wed @ 3:30 am, BR 306)
On break
11/14: The Definition of an Envelope and Examples by Sam Hines
11/07: Group algebras on extra special groups of order 27 by Dalton Blythe
10/31: Introduction to Extra-special groups by Dalton Blythe
10/24: Graded Clifford & graded skew Clifford algebras (Part II) by Jessica Cain
10/17: Graded Clifford & graded skew Clifford algebras (Part I) by Jessica Cain
10/10: Generalization of a Notion of Rank on Quadratic Forms on n Generators by Jessica Cain
10/03: Clifford Algebras & their Generalizations (Part II) by P. Veerapen (Notes)
09/26: Clifford Algebras & their Generalizations (Part I) by P. Veerapen
09/19: On Fadeev-Leverrier algorithm for computing a characteristic polynomial of a matrix extended to Clifford algebra elements by R. Ablamowicz
09/12: A Primer on Functors (Part II) by R. Ablamowicz
09/05: A Primer on Functors (Part I) by R. Ablamowicz
Algebra Seminar, Spring 2018 (Thurs @ 9:30 am, BR 420)
04/26: A Primer on Category Theory (Part IV) by R. Ablamowicz
04/19: A Primer on Category Theory (Part III) by R. Ablamowicz
04/12: A Primer on Category Theory (Part II) by R. Ablamowicz
04/05: A Primer on Category Theory (Part I) by R. Ablamowicz
03/29: No talk
03/22: Quotient Algebras of Group Algebras of Extra-special Groups of Order 27 by Dalton Blythe
03/15: Number of mu-determinants for a Definition of mu-rank two on Quadratic Forms on n Generators by Jessica Prince
03/01: On Z_2 Gradation of Group Algebras of Salingaros Vee Groups (Part IV) by Manisha Varahagiri
02/22: On Z_2 Gradation of Group Algebras of Salingaros Vee Groups (Part III) by Manisha Varahagiri
02/15: On Z_2 Gradation of Group Algebras of Salingaros Vee Groups (Part II) by Manisha Varahagiri
02/08: Decomposing Group Algebras of Nonabelian Groups of Order 27 by Dalton Blythe
02/01: On Z_2 Gradation of Group Algebras of Salingaros Vee Groups by M. Varahagiri
01/25: Group Extensions (Part II) by R. Ablamowicz
Algebra Seminar, Fall 2017 Schedule (Wednesdays @ 2:45 pm, BR 420)
09/06: Salingaros Vee Groups & Clifford Algebras (Part I) by M. Varahagiri
09/13: Salingaros Vee Groups & Clifford Algebras (Part II) by M. Varahagiri
09/20: Z2 Gradation of Group Algebras & Quotients of Group Algebras (Part I) by R. Ablamowicz
09/27: Notion of rank on Noncommutative Quadratic Forms on Four Generators (Part I) by J. Prince
10/04: Notion of rank on Noncommutative Quadratic Forms on Four Generators (Part II) by J. Prince
10/11: Z_2 Gradation of Group Algebras of Salingaros 2-groups & Related Topics (Part I) by R. Ablamowicz
10/18: Z_2 Gradation of Group Algebras of Salingaros 2-groups & Related Topics (Part II) by R. Ablamowicz
10/25: Classification and Structure of Groups of Order 27 by D. Blythe
11/01: The Lie superalgebra sl(1 | 1) and Noncommutative Projective Algebraic Geometry by P. Veerapen
11/08: Break week
11/15: A Z_2 graded map between the quotient algebra of Vee groups and Clifford algebras by M. Varahagiri
11/29: Conjugacy classes in Groups of Order p^3 by D. Blythe
12/06: Group Extensions by R. Ablamowicz