Weekly Seminar @ TTU/virtually

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)

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