invited talks at conferences, workshops, and schools

* A general theory of supports and generalized weights for linear codes, Cryptography and Coding Theory - first annual conference of the UMI group "Crittografia e Codici", Italy, September 2021-- online event
* Optimal Anticodes and Generalized Weights in the Sum-Rank Metric, SIAM Conference on Applied Algebraic Texas A&M, TX (USA), August 2021 -- online event
* A general theory of supports and generalized weights for linear codes, AGC^2T (Arithmetic Geometry, Cryptography, and Coding Theory) conference, CIRM, Luminy (France), June 2021-- online event
* Multivariate cryptography and the complexity of solving multivariate polynomial systems, Diamant Symposium at the Dutch Mathematical Congress (the Netherlands), April 2021-- online event
* Complexity of Grobner bases computations and applications to cryptography (3h course), Journées Nationales de Calcul Formel, CIRM, Luminy (France), March 2021-- online event
* Multivariate cryptography and the complexity of solving random polynomial systems, International Workshop on the Arithmetic of Finite Fields (WAIFI 2020) , Rennes (France), July 2020 -- online event
* Multivariate cryptography and the complexity of computing Groebner bases, Dutch Mathematical Congress, Utrecht (the Netherlands), April 2020 -- cancelled due to the COVID-19 pandemic
* Multivariate cryptography and the complexity of computing Groebner bases, Women in Numbers - Europe 3, University of Rennes (France), August 2019 
* Bounds on the complexity of computing Groebner bases for HFE systems, SIAM Conference on Applied Algebraic Geometry, University of Bern (Switzerland), July 2019
* Invariants of rank-metric codes and q-polymatroids, Contemporary Coding Theory, Oberwolfach Workshop, Oberwolfach (Germany), March 2019
* Rank-metric codes and q-polymatroids,  Applied Algebra Day, Massachusetts Institute of Technology, MA (USA), November 2018
* A gentle introduction to elliptic curve cryptography, EBSIS Summer School on Distributed Event Based Systems and Related Topics 2018, Villars-sur-Ollon (Switzerland), July 2018
* Universal Groebner bases and Cartwright-Sturmfels ideals, Workshop on Commutative Algebra - honoring Peter Schenzel, University of Osnabrueck (Germany), October 2017
* Universal Groebner bases and Cartwright-Sturmfels ideals, Foundations of Computational Mathematics - FoCM 2017, University of Barcelona (Spain), July 2017
* An algebraic framework for physical-layer network coding, Coding Theory in the Time of Big Data, Dagstuhl Seminar, Dagstuhl (Germany), August 2016
* Universal Groebner bases and Cartwright-Sturmfels ideals, Midwest Commutative Algebra and Algebraic Geometry Conference, University of Notre Dame, IN (USA), May 2016
* Trace zero subgroups, Algebraic Geometry for Coding Theory and Cryptography, IPAM - University of California Los Angeles, CA (USA), February 2016
* Rank distribution of Delsarte codes, Mathematical Coding Theory in Multimedia Streaming, Banff International Research Station (Canada), October 2015
* Compression for trace zero points on Edwards curves, SIAM Conference on Applied Algebraic Geometry, NIMS, Daejeon (Korea), August 2015
* Subspace codes from Ferrers diagrams, SIAM Conference on Applied Algebraic Geometry, NIMS, Daejeon (Korea), August 2015
* Equidistant subsace codes, 7th Workshop on Coding and Systems, University of Salamanca (Spain), July 2015
* Data compression for elliptic curves, MEGA 2015 – Effective Methods in Algebraic Geometry, University of Trento (Italy), June 2015
* Trace zero varieties and the ECDLP over extension fields, ECC2014 – 18th Workshop on Elliptic Curve Cryptography, Chennai (India), October 2014
* Gorenstein liaison for toric ideals of graphs, First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao (Spain), July 2014
* Efficient representations for the trace zero subgroup, DLP 2014 -- Theoretical and practical aspects of the Discrete Logarithm Problem, Ascona (Switzerland), May 2014
* Universal Groebner bases for ideals of maximal minors, Vector Bundles Days II, Pau-Trieste workshop on vector bundles and related topics, Trieste (Italy), January 2014
* Partial spread codes, Dagstuhl Seminar on Coding Theory, Dagstuhl (Germany), August 2013
* Universal Groebner bases for ideals of maximal minors, Commutative algebra and its interactions with algebraic geometry, CIRM, Luminy (France), July 2013
* Computation with Groebner bases over finite fields, First European Training School on Network Coding, Autonomous University of Barcelona (Spain), February 2013
* Initial ideals and linkage, Commutative Algebra and related topics, University of Genoa (Italy), June 2012
* An optimal algebraic construction for random network coding, Solving polynomial equations, KTH Stockholm (Sweden), February 2011 (part of the Mittag-Leffler Institute's program on "Algebraic Geometry with a view towards applications")
* An optimal algebraic construction for random network coding, Women in Computer Algebra, Aachen (Germany), October 2010
* An optimal algebraic construction for random network coding, XII Encuentro de Álgebra Computacional y Aplicaciones - EACA 2010, Santiago de Compostela (Spain), July 2010
* Groebner bases of linked ideals, School and Workshop on Local Rings and Local Study of Algebraic Varieties, The Abdul Salam International Center for Theoretical Physics (ICTP), Trento (Italy), June 2010
* Liaison and Groebner bases of pfaffian ideals, Incontro Nazionale di Algebra Moderna, INdAM - Italian National Institute for Higher Mathematics, Roma (Italy), May 2010
* Liaison and Groebner bases of pfaffian ideals, Midwest Algebra, Geometry and their Interactions Conference - MAGIC'10, University of Nore Dame, IN (USA), April 2010
* Linkage of schemes defined by minors and pfaffians, Giornate di Geometria Algebrica ed Argomenti Correlati IX, Trento (Italy), May 2008
* Linkage of schemes defined by minors and pfaffians, Genova-Barcelona Workshop on Commutative Algebra and Applications, University of Genoa (Italy), May 2008
* Coding for Random Linear Networks, University of Zurich Symposium in Mathematics, Zurich (Switzerland), April 2008
* Linkage of schemes defined by minors and pfaffians, Conferencia Internacional sobre Álgebra Conmutativa, Combinatoria  y Computacional en Honor de Pilar Pisón Casares, University of Sevilla (Spain), February 2008
* Algebraic geometric instances of the Discrete Logarithm Problem, Workshop on “Projective Geometry and Commutative Algebra in Applications”, University of Genova (Italy), June 2007
* Cryptography and mathematics: from Cesar's cypher to the internet, Math Awareness Week, Center for Ring Theory and its Applications, Ohio University, Athens, OH (USA), April 2007
* Computational challenges in torus based cryptography, Computational Challenges Arising in Algorithmic Number Theory and Cryptography (part of the Fall 2006 Thematic Program in Cryptography at the Fields Institute), Toronto (Canada), November 2006
* Torus based cryptography (series of 3 lectures), Summer School on “Computational Number Theory and Applications to Cryptography”, University of Wyoming, Laramie, WY (USA), July 2006
* Gorenstein liaison, Symposium in pure mathematics, University of Zurich (Switzerland), June 2006
* Algebraic Geometry instances of the Discrete Logarithm Problem, Boole Workshop in Coding and Cryptography, Boole Centre for Research in Informatics, UCC, Cork (Ireland), May 2006
* Rationality questions in cryptography, Incontro di Algebra Commutativa e Computazionale, Genoa (Italy), November 2005
* G-biliaison of determinantal schemes, MAGIC 05 - Midwest Algebra, Geometry and their Interactions Conference, Notre Dame, IN (USA), October 2005
* Public key cryptography: applications of mathematics to secrecy in communication, Fachschaftstag der kantonalen Fachschaft Mathematik der Gymnasien des Kantons Luzern, University of Zurich (Switzerland), December 2004
* Introduction to Elliptic Curves, 2004 IMA Summer Program for Graduate Students in Coding and Cryptography, Notre Dame, IN (USA), June 2004
* The general plane section of a curve in P^3, AMS 2004 Spring Eastern Section Meeting, Lawrenceville, NJ (USA), April 2004

contributed talks

* Efficient Representation for the Trace Zero Subgroup via Rational Functions, SIAM Conference on Applied Algebraic Geometry, Colorado State University, Fort Collins, CO (USA), August 2013
* Partial spread codes, COST workshop, University of Zurich (Switzerland), June 2013
* Cryptanalysis of the CFVZ cryptosystem, 10th Rhein Workshop on Computer Algebra, University of Basel (Switzerland), March 2006
* Some algebraic properties of curves in P^3 via their general plane section, Geometrie Algebrique En Liberte' XII, CIRM, Luminy (France), April 2004
* The general plane section of a space curve, Route 81 Conference, Syracuse University, Syracuse, NY (USA), October 2003

invited colloquia and seminar talks

* Multivariate cryptography and the complexity of polynomial system solving, John Conway Spirited Mathematics Seminar Series, Lahore University of Management Sciences (Pakistan), September 2021 -- online event
* Multivariate cryptography and the complexity of polynomial system solving,  SAGA - Seminar on Applied Geometry and Algebra, September 2021 -- online event
* A general theory of supports and generalized weights for linear codes, ACCESS -- Algebraic Coding and Cryptography on the East coast Seminar Series (USA), May 2021
* Ideals with a radical generic initial ideal, Fellowship of the Ring -- A worldwide commutative algebra seminar, hosted by MSRI (USA), February 2021
* Blowup algebras of sparse determinantal varieties, UMN Combinatorics & Commutative Algebra Seminar, University of Minnesota, MN (USA), December 2020
* Multivariate cryptography and the complexity of solving random polynomial systems, Seminario Geometría Algebraica y Singularidades virtual & Spanish-Colombian Seminar on Coding and Crypto, Universidad de Valladolid (Spain) and Universidad del Norte (Colombia), October 2020
* Blowup algebras of sparse determinantal varieties, Seminar Algebra and Geometry, University of Basel (Switzerland), May 2020 -- cancelled due to the COVID-19 pandemic
* Rank-metric codes and their invariants, Eindhoven University of Technology (the Netherlands), April 2020 -- cancelled due to the COVID-19 pandemic
* Universal Groebner bases and Cartwright-Sturmfels ideals, University of Fribourg (Switzerland), March 2019
* Multivariate cryptography and Groebner bases, Virginia Tech, VA (USA), December 2018
* Universal Groebner bases and Cartwright-Sturmfels ideals, Northeastern University, MA (USA), October 2018
* Nonlinear algebra aspects of coding theory, ICERM, Brown University, RI (USA), October 2018
* Universal Groebner bases and Cartwright-Sturmfels ideals, Clemson University, SC (USA), October 2018
* Rank-Metric Codes and q-Polymatroids, Clemson University, SC (USA), October 2018
* Multivariate cryptography and Groebner bases, Colloquium, Clemson University, SC (USA), October 2018
* Rank-Metric Codes and q-Polymatroids, University of Paris 8, Paris (France), May 2018
* Multivariate cryptography and the complexity of computing Groebner bases, Cryptography Seminar, University of Oxford (UK), February 2018
* Groebner bases in theory and practice, Berlin-Leipzig Seminar on Algebra, Geometry and Combinatorics, TU Berlin (Germany), December 2017
* Multivariate cryptography and Groebner bases, Colloquium, University of Osnabrueck (Germany), October 2017
* Universal Groebner bases and Cartwright-Sturmfels ideals, University of Basel (Switzerland), November 2015
* Universal Groebner bases of maximal minors, University of Pisa (Italy), April 2015
* Universal Groebner bases of maximal minors, Edinburgh University (Scotland, UK), April 2014
* Universal Groebner bases of maximal minors, Université Pierre et Marie Curie, Paris (France), March 2014
* Glicci ideals, Commutative Algebra Colloquium, MSRI - Mathematical Sciences Research Institute, Berkeley, CA (USA), November 2012
* Trace zero cryptosystems, Academia Sinica, Taipei (Taiwan), June 2012
* Ideals of minors and pfaffians: liaison and initial ideals, University of Turin (Italy), June 2012
* Elliptic Curve Cryptography, University of Neuchatel (Switzerland), February 2012
* Gorenstein Liaison, University of Duesseldorf (Germany), December 2011
* Cryptography: from theory to practice, Swiss Academy of Science, Bern (Switzerland), September 2011
* Elliptic curve cryptography and its applications to secrecy in communications, University of Neuchatel (Switzerland), May 2011
* Minors: theory and practice, Technical University of Munich (Germany), March 2011
* Minors: theory and practice, University of Magdeburg (Germany), March 2011
* Gorenstein Liaison, University of Luxembourg, January 2011
* Codes on the Grassmannian, or how to correct errors in a network, Colloquium, University of Fribourg (Switzerland), November 2010
* Gorenstein Liaison and determinantal schemes, University of Freiburg (Germany), January 2010
* Linkage of schemes defined by minors and pfaffians, Purdue University, IN (USA), October 2009
* Gorenstein Liaison and determinantal ideals, Colloquium, University of Notre Dame, IN (USA), October 2009
* Linkage of schemes defined by minors and pfaffians, University of Milan (Italy), April 2009
* Finite fields in cryptography, Goethe University, Frankfurt am Main (Germany), February 2009
* Gorenstein Liaison, University of Kiel (Germany), January 2009
* Finite fields in cryptography, Technical University of Munich (Germany), November 2008
* Gorenstein Liaison, Humboldt University of Berlin (Germany), November 2008
* Gorenstein Liaison, University of Exeter (UK), April 2008
* Finite fields in cryptography, Technical University of Aachen (Germany), April 2008
* Elliptic curves, pairings, and the Discrete Logarithm Problem, University of Basel (Switzerland), May 2007
* Algebraic geometric instances of the Discrete Logarithm Problem, Center for Ring Theory and its Applications, Ohio University, Athens, OH (USA), April 2007
* What is elliptic curves cryptography?, Center for Ring Theory and its Applications, Ohio University, Athens, OH (USA), April 2007
* Linkage and determinantal schemes, University of Osnabrueck (Germany), November 2006
* The Discrete Logarithm Problem for matrices over elliptic curves, University of Genoa (Italy), April 2006
* Pairings on elliptic curves, b-it Bonn-Aachen International Center for Information Technology, Bonn (Germany), October 2005
* Cryptographic applications of elliptic curves, University of Pisa (Italy), May 2005
* Cryptographic applications of elliptic curves, University of Genoa (Italy), March 2005
* The G-biliaison class of symmetric determinantal schemes (series of 3 talks), University of Notre Dame, IN (USA), February-March 2005
* Determinantal ideals, University of Genoa (Italy), July 2004
* When is a curve Cohen-Macaulay?, Purdue University, IN (USA), November 2003
* The general section of a non Cohen-Macaulay curve, University of Missouri-Columbia, MO (USA) October 2003
* Lifting the Cohen-Macaulay property, University of Kansas, KS (USA), October 2003
* The minimal free resolutions of the general section of a curve, University of Genoa (Italy), July 2003

internal talks

* Measures of complexity for polynomial system solving over finite fields, University of Neuchatel (Switzerland), April 2019
* Groebner bases and their applications, Mathematics Mini Talks, University of Neuchatel (Switzerland), April 2015
* An introduction to coding theory and cryptography, Mittag Leffler Institute, Stockholm (Sweden), February 2011
* Gorenstein liaison and determinantal schemes, University of Basel (Switzerland), November 2009
* General hyperplane sections of curves, University of Zurich (Switzerland), December 2008
* A bird's-eye view of torus-based cryptography, University of Zurich (Switzerland), October 2007
* A generalized Gaeta's Theorem, University of Zurich (Switzerland), May 2007
* Elliptic curves, pairings, and the Discrete Logarithm Problem, University of Zurich (Switzerland), March 2007
* Gorenstein liaison and divisors, University of Zurich (Switzerland), November 2006
* The Neron model of an abelian variety, Number Theory Seminar on Modular Curves, Fields Institute, Toronto (Canada), October 2006
* An introduction to schemes and group schemes, Number Theory Seminar on Modular Curves, Fields Institute, Toronto (Canada), October 2006
* Algebraic Geometry instances of the Discrete Logarithm Problem, University of Zurich (Switzerland), May 2006
* Pairings on elliptic curves (series of 2 talks), University of Zurich (Switzerland), November 2005
* What is elliptic curve cryptography?, ETHZ-UZH Graduate Colloquium, Zurich (Switzerland), November 2005
* Applications of elliptic curves to cryptography, University of Zurich (Switzerland), April 2005
* The computer algebra system CoCoA, University of Notre Dame, IN (USA), February 2005
* Curves, general plane sections and cohomology, University of Notre Dame, IN (USA), May 2004
* The general plane section of a space curve (series of 2 talks), University of Notre Dame, IN (USA), September 2003
* The wonderful world of sheaves and sheaf cohomology, University of Notre Dame, IN (USA), March 2003
* Birational morphisms to P^2, University of Notre Dame, May 2001
* Bounding the number of points of intersection of two curves in P^n, University of Notre Dame, IN (USA), December 2001
* Constructing irreducible schemes with a given hyperplane section, University of Notre Dame, IN (USA), November 2000
* On some conjectures of Eisenbud, Green and Harris, University of Notre Dame, IN (USA), April 2000
* Multiplicity of zero-dimensional schemes lying on a complete intersection of quadric hypersurfaces, University of Notre Dame, IN (USA), February 2000