### Upcoming

*Geometric Methods in Complexity Theory*

Quantum Information Colloquium - Bochum - November 2024*Geometry of Tensor Networks*

Journée LPT IMT - Toulouse - December 2024

### 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

*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