Upcoming
- Apolarity theory, zero-dimensional schemes and their role in complexity theory
Algebraic Complexity, Geometry, and Representations, Warwick, March 2025 - TBD
INABAG Conference, Trento, July 2025 - Equations for tensors via intersection theory
SIAM AG 2025, Madison, Wisconsin, USA, July 2025
Highlights
- Geometry and asymptotics in the study of tensors
MEGA 2024 - Leipzig - July 2024 - Algebraic Geometry and Complexity Theory
Mathematical Colloquium - University of Bern - May 2024 - Geometric methods for lower bounds in complexity theory
IRIT Scientific Day - Toulouse - December 2023 - Border rank and homogeneous complexity classes
7th Workshop on Algebraic Complexity Theory (WACT 2023) - University of Warwick - March 2023 - Optimization on Tensor Network Varieties
Workshop on Optimization Under Symmetry - Simons Institute for the Theory of Computing - Berkeley - December 2021
Invited Talks
- Geometry of Tensor Networks
Journée LPT IMT - Toulouse - December 2024 - Geometric Methods in Complexity Theory
Quantum Information Colloquium - Bochum - November 2024 - Subrank of tensors in geometry and invariant theory
Séminaire Méditerranéen de Géométrie Algébrique - Genova - September 2024 - Geometry and asymptotics in the study of tensors
MEGA 2024 - Leipzig - July 2024 - Algebraic Geometry and Complexity Theory
Mathematical Colloquium - University of Bern, Switzerland - May 2024 - Collineation varieties of tensors
Geometry Seminar, Texas A&M University - College Station, TX - May 2024 - Geometric methods for lower bounds in complexity theory
IRIT Scientific Day - Toulouse - December 2023 - Characteristic polynomials of tensors
Nonlinear Algebra Seminar - MPI Leipzig - October 2023 - A Gap in the Subrank of Tensors
SIAM Conference Applied Algebraic Geometry (SIAM AG23) - TU Eindhoven -- Minisymposium: Asymptotic Algebra and Geometry -- July 2023 - Rank algorithms, Hilbert functions and non-saturated ideals
Workshop Cactus v. Secants - Institut de Mathématiques de Toulouse - May 2023 - Tensor subrank and the geometry of small orbits
Politecnico di Torino - April 2023 - Border rank and homogeneous complexity classes
7th Workshop on Algebraic Complexity Theory (WACT 2023) - University of Warwick - March 2023 - Optimization on Tensor Network Varieties
AGATES Workshop on Tensors in statistics, optimization and machine learning - IMPAN - Warsaw - November 2022 - Lower bounds for Algebraic Branching Programs via Intersection Theory
Applied Algebraic Geometry Seminar - Dipartimento di Matematica e Informatica Ulisse Dini - July 2022 - Tensor Subrank and Homomorphism Duality
Workshop on geometry and complexity theory - Institut de Mathématiques de Toulouse - April 2022 - Optimization on Tensor Network Varieties
Workshop on Optimization Under Symmetry - Simons Institute for the Theory of Computing - Berkeley - December 2021 - Geometry of Tensor Networks
Séminaire Calcul Formel - Université de Limoges - France - October 2021 - Geometry of Direct Sums and Kronecker Powers of Tensors
SIAM Conference Applied Algebraic Geometry (SIAM AG21) - Texas A&M University -- Minisymposium: The Algebra and Geometry of Tensors 1: General Tensors - August 2021 - Geometry of Tensor Network Varieties
Algebra and Geometry Seminar - Università degli Studi di Trieste - Italy - April 2021 - Border rank under direct sum: from Schönhage to tensor networks
Quantum Information, Algebra and Geometry Seminar - Università degli Studi di Trento - Italy - March 2021 - Varieties of sums of powers, Stiefel manifolds and their degrees
Algorithmic Mathematics and Complexity Theory Seminar, TU Berlin - December 2020 - Segre reembedding of secant varieties and multiplicativity of rank and border rank
Real Algebraic Geometry Seminar, University of Konstanz - November 2020 - Approaching the boundary of tensor network varieties
Geometry Seminar, Texas A&M University - College Station, TX - October 2020 - Border rank and tensor product: geometry and complexity
Nonlinear Algebra Seminar Online - Organized by MPI MiS - Leipzig - March 2020 - Tensors, Symmetries and Matrix Multiplication
Congresso UMI 2019 - Università di Pavia - Italy - September 2019 - Rank, border rank, multiplicativity and entanglement
SIAM Conference Applied Algebraic Geometry (SIAM AG19) - University of Bern -- Minisymposium: Applications of Algebraic geometry to quantum information - July 2019 - Tensors with Symmetries and Matrix Multiplication
Workshop: Theoretical Computer Science and Algebraic Geometry - Max Planck Institute for Informatics - Saarbrücken - Germany - January 2019 - Rank of Forms and Partial Derivatives
Geometry Seminar, Texas A&M University - College Station, TX - November 2018 - Barriers for Geometric Methods in Complexity Theory
UMI-SIMAI-PTM Joint Meeting - Wrocłow - Poland - September 2018 - Tensors with Symmetries and Matrix Multiplication
Workshop: Tensors - Politecnico di Torino - Turin - Italy - September 2018 - SLOCC transformations, tensor restriction and Strassen's asymptotic rank conjecture
Quantum Information, Algebra and Geometry Seminar - Università degli Studi di Trento - Italy - July 2018 - Cactus rank and multihomogeneous polynomials
Geometry Seminar - Texas A&M University - College Station, TX - April 2018 - Multiplicativity of rank and border rank
Seminario di Geometria - Dipartimento di Matematica e Informatica Ulisse Dini - Firenze - Italy - February 2018 - On multiplicativity of various notions of rank
Geometry Seminar - Texas A&M University - College Station, TX - September 2017 - Rigidità di matrici e complessità del prodotto matrice-vettore
Seminario di Geometria - Dipartimento di Matematica e Informatica Ulisse Dini - Firenze - Italy - January 2017 - Geometric Complexity Theory and Matrix Powering
TU Berlin - Germany - January 2017 - Geometry and complexity of matrix-vector multiplication
Workshop on Non-linear Algebra - Max Planck Institute for Mathematics in the Sciences - Leipzig - Germany - January 2017 - Matrix Rigidity and the Complexity of Performing a Linear Map
Differential Geometry and Applications Conference - Masaryk University - Brno - Czech Republic - July 2016 - Geometry of Small Matrix Multiplication
Workshop on Software and Applications in Numerical Algebraic Geometry - University of Notre Dame, IN - May 2016 - The Geometry of Iterated Matrix Multiplication
Computational Algebraic Geometry Seminar - UC Berkeley - November 2014
Local talks
- Collineation Varieties of Tensors
Institut de Mathématiques de Toulouse - November 2023 - Lower bounds for Algebraic Branching Programs via Intersection Theory
Oberseminar Algebraische Geometrie - Saarland University - June 2022 - Tensor Subrank and Homomorphism Duality
Nonlinear Algebra Seminar - MPI MiS Leipzig - April 2022 - Tensor Network Methods for Computing Spectral Norms of Symmetric Tensors
Nonlinear Algebra Seminar - MPI MiS Leipzig - June 2021 - Varieties of Sums of Powers, Stiefel manifolds and their degrees
Quantum Lunch Seminar - University of Copenhagen - November 2019 - Waring rank, apolarity and partial derivatives
Quantum Lunch Seminar - University of Copenhagen - March 2019 - On the interplay between Algebraic Geometry and Complexity Theory
Quantum Lunch Seminar - University of Copenhagen - November 2017 - Polynomials with maximal catalecticant rank and consequences in complexity theory
Geometry Seminar - Texas A&M University - April 2017 - Algebra, geometry and complexity: How hard is it to compute a polynomial?
GSO Seminar - Texas A&M University - April 2017 - Matrix rigidity: a measure for the complexity of a linear map
GSO Seminar - Texas A&M University - November 2016 - Introduction to Apolarity: How to solve a cubic equation using linear algebra
GSO Seminar - Texas A&M University - November 2015 - A Discussion on Lee's Paper on Power Sum Decompositions of Elementary Symmetric Polynomials
Graduate Students and PostDocs Working Geometry Seminar - Texas A&M University - September 2015 - Castelnuovo-Mumford Regularity and the Cokernel of the Hadamard-Howe map
Graduate Students and PostDocs Working Geometry Seminar - Texas A&M University - February 2015 - Degree of determinantal varieties and dimension of Schur modules
Graduate Students and PostDocs Working Geometry Seminar - Texas A&M University - April 2014 - Tamvakis's connection between Schubert Calculus and Representation Theory
Graduate Students and PostDocs Working Geometry Seminar - Texas A&M University - February 2014 - Complexity of matrix-vector multiplication and matrix rigidity
Geometry Seminar - Texas A&M University - January 2014 - On the border rank of Iterated Matrix Multiplication
Graduate Students and PostDocs Working Geometry Seminar - Texas A&M University - September 2013 - Rango di Tensori e Varietà Secanti
Seminario di Tesi - Dipartimento di Matematica e Informatica Ulisse Dini - Firenze - March 2012