Talks

This is a list of outside seminars and talks I have given at various conferences and workshops. For some of them have slides I have included slides and or notes.

Recent talks

• Determinant functors for triangulated categories and categorical rings
  Category Theory Octoberfest 2022, University of Ottawa, October 28–29, 2023
  slides

• Cubes in Picard groupoids, MacLane’s \(Q\)-construction, determinants
  Category Theory Octoberfest 2022, University of Ottawa, October 29–30, 2022 (Online)
  notes

• New invariants for algebraic cycles. Department of Mathematics, University of Toledo (OH). Jan 21, 2021.
  Invited colloquium talk.
  slides

• Workshop on categorical groups. Leading lecture. AMS Fall Southeastern Meeting, Oct 10–11, 2020.

• Categorical groups, their morphisms, and higher algebraic structures.
  AMS Fall Southeastern Meeting, Oct 10–11, 2020.
  slides

• Cup products, the Heisenberg group, and codimension two algebraic cycles.
  Geometry Seminar, International School for Advanced Studies (SISSA), Trieste, Italy. Jan. 23, 2018.

• Biextensions of stable modules and presentations of bimonoidal categories.
  Invited talk at the Lloyd Roeling Topology Conference—Lloyd Roeling Mathematics Conference at the University of Louisiana at Lafayette, 2017 Nov. 11, 2017.

• Biextensions, ring-like stacks, and their classification. Category Theory Octoberfest 2017, Carnegie Mellon University, Oct. 28, 2017.
  slides

• Stacks and Homotopy Types: Intersections and Applications. FSU Mathematics Department colloquium talk. Apr. 21, 2017.

• Cohomology of associative algebras, categorical rings, and their morphisms. Dept. of Mathematical Sciences, West Point USMA. Apr. 27, 2016.

• Intersection theory and homotopy types with algebraic structure. FSU Mathematics Department colloquium talk. Nov. 18, 2015.
  slides

• Butterflies and morphisms of monoidal and bimonoidal stacks. Category Theory Octoberfest 2015, University of Ottawa, Nov. 1, 2015.
  slides

• Arithmetic aspects of Liouville, Aspects of gauge and string theories: A conference in honour of the 70th birthday of Loriano Bonora, International School for Advanced Studies (SISSA) Trieste, Italy. Jul. 2nd, 2015.
  slides

• Nonabelian biextensions and bimonoidal functors. Dept. of Mathematics, University of Maryland. Algebra and Number Theory Seminar. May 11, 2015.

• Generating very large numbers. Outreach talk, Math Fun Day 2014, FSU
  slides
  example number (Very large file!~100MB)

• Biextensions, biadditive morphisms, and categorical rings, Séminaire de théorie des Catégories, Université catholique de Louvain, Louvain-la-Neuve, Belgium. May 16, 2014.

• Biextensions and biadditive morphisms, Algebra and Algebraic Geometry Seminar, Università di Torino, Turin, Italy. May 7, 2014.

• Biextensions and biadditive morphisms, Geometry Seminar, International School for Advanced Studies (SISSA), Trieste, Italy. Apr. 10, 2014.

• Biextensions and biadditive morphisms, Università di Milano, Milan, Italy. Mar. 31st, 2014.

• Postnikov invariants and morphisms of monoidal and bimonoidal stacks. Geometry Seminar, International School for Advanced Studies (SISSA), Trieste, Italy. Jul. 8, 2013.

• Butterflies and morphisms of monoidal and bimonoidal stacks. Category Theory Seminar. Università di Milano, Milan, Italy. Jun. 24, 2013.
  slides

• Butterflies and morphisms of monoidal and bimonoidal stacks. Category Theory ‘’Octoberfest’’, Concordia & McGill Universities, Montreal, Canada. Oct. 26, 2012.

• Exact sequences and fibrations of classifying stacks. Geometry Seminar, International School for Advanced Studies (SISSA), Trieste, Italy. Jul. 14, 2011.

• Introduction to nonabelian cohomology towards nonabelian A- and B-fields. 4th Workshop on Geometric Methods in Theoretical Physics, International School for Advanced Studies (SISSA), Trieste, Italy. Jul. 12, 2011.

• Mapping spaces of group-like stacks. Algebraic Analysis and Geometry, Padua, Italy. Conference on ‘’Algebraic Analysis and Geometry, 2011.’’ Jul. 4, 2011.

• Mapping spaces of group-like stacks Topology Seminar, Dept. of Mathematics, UC Riverside. Apr. 19, 2011.
  slides

• Cohomology for stacks and gerbes. 3rd Workshop on Geometric Methods in Theoretical Physics. International School for Advanced Studies. Trieste, Italy. Jul. 9, 2010.

• Stacks and non-abelian cohomology. International School for Advanced Studies, Trieste, Italy. Jun. 19, 2010.

• Stacks and non-abelian cohomology. Program on Derived Algebraic Geometry, Department of Mathematics, University of Salamanca, Spain. Oct. 29, 2009.

• Group-like stacks and the non-abelian derived category. Algebraic Geometry Seminar, International School for Advanced Studies, Trieste, Italy, July 8, 2008.

• Liouville action, 2-gerbes, and the determinant of cohomology, The manifold geometries of quantum field theory Max Planck Institute for Mathematics, Bonn (Germany), June 30-July 4, 2008

• Butterflies, morphisms between gr-stacks, and non-abelian cohomology. Workshop on Categorical Groups, Barcelona, June 16–20, 2008.