Curriculum Vitae
Pierrick BOUSSEAU E-mail : [email protected] Webpage : https://n.ethz.ch/ pboussea/
Nationality : French
Academic positions
2020–... : Chargé de recherche CNRS au Laboratoire de Mathématiques d’Orsay, Université Paris-Sud.
2018–2020 : ETH-ITS Junior Fellow (postdoctoral position).
Education
2014–2018 : PhD in Pure Mathematics, at Imperial College London, under the supervision of Professor Richard Thomas.
2013–2014 : ENS diploma : major in Mathematics, minor in Physics.
2011–2013 : Master’s degree in Mathematics, ENS-Paris 11, with highest distinction.
2011–2013 : Various Master’s level courses in Theoretical Physics, ENS.
2010–2011 : Bachelor’s degree in Physics, ENS-Paris 11, with highest distinction.
2010–2011 : Bachelor’s degree in Mathematics, ENS-Paris 11, with highest distinction.
2010 : Admission to the École Normale Supérieure de Paris (ENS).
2008-2010 : Student at Lycée Louis le Grand, Paris, MPSI-MP* (Preparatory Classes for the Grandes Ecoles, Mathematics, Physics, Computer Science).
2008 : French Baccalauréat (High school diploma), with highest distinction. Achievements
2020 : SwissMAP Innovator Prize, awarded to PhD students or postdocs for important scientific achievements in the research areas of the Swiss National Centre of Com- petence in Research SwissMAP-The Mathematics of Physics, September 2020.
2019 : Yael Naim Dowker Centenary Prize in Mathematics, Imperial College London, May 2019.
2018 : Doris Chen PhD Merit Award, Imperial College London, July 2018.
2017 : Young Scientist Award of the Journal of Geometry and Physics, for a talk given at the Workshop on Algebraic Geometry and Physics, SISSA, June 2017.
2014 : Imperial College PhD Scholarship.
2009 : International Physics Olympiads (IPHO) : Silver Medal.
2008 : Concours général de Physique (French national competition in Physics) : First Prize. Research
Research areas : algebraic geometry, tropical geometry, logarithmic geometry, mirror symmetry, Gromov-Witten invariants, Donaldson-Thomas invariants, quiver representations, cluster algebras . . . PhD research : geometric interpretation of tropical Block-Göttsche invariants in terms of logarithmic Gromov-Witten invariants, application to the "tropical vertex" and to deformation quantization of mirrors of log Calabi-Yau surfaces. Postdoc research : — New examples of correspondence between quiver Donaldson-Thomas invariants and Gromov- Witten invariants. — Geometric interpretation of refined floor diagrams. 2 — Construction of a scattering diagram in the space of Bridgeland stability conditions on P , giving an algorithm computing Hodge numbers of moduli spaces of Gieseker semistable sheaves. 2 Application : a correspondence between refined counts of dimension 1 sheaves on local P and 2 higher genus Gromov-Witten theory of (P ,E), where E is a smooth cubic. 2 — Proof of N. Takahashi’s conjecture on genus zero Gromov-Witten theory of (P ,E). — (With H. Fan, S. Guo, L. Wu) Finite generation, quasimodularity and holomorphic anomaly 2 equation for higher genus Gromov-Witten theory of (P ,E). Application : proof of the stringy predictions of Huang-Klemm on the Nekrasov-Shatahsvili limit of refined topological string 2 theory on local P . — (With A. Brini, M. van Garrel) Study of explicit examples of the log-local conjecture of van Garrel-Graber-Ruddat. Current research : — Immediate follow-ups of the previous results : incorporation of gravitational descendants (psi classes), construction of canonical bases for rank two cluster varieties, further exploration of the log-local conjecture (including new connections with open Gromov-Witten theory of toric Calabi-Yau 3-folds, and more speculatively sheaf counting on Calabi-Yau 4-folds). — Definition of a doubly refined tropical curve counting, relation with representation theory (new viewpoint on Cherednik DAHA algebras and Calogero-Moser spaces) — Floer theory for holomorphic symplectic varieties (viewpoint motivated by the analogy with gauge theories in dimensions 6,7 and 8). — Web of conjectures about enumerative geometry and mirror symmetry for local del Pezzo sur- faces, application to theoretical physics (geometric reformulation of the problem of comparing 4d and 5d BPS spectra in some examples). Research Papers : list of publications
2021 : “The flow tree formula for Donaldson-Thomas invariants of quivers with poten- tials", with Hülya Argüz, arxiv preprint, https://arxiv.org/abs/2102.11200.
2020 : “Stable maps to Looijenga pairs : orbifold examples", with Andrea Brini and Michel van Garrel, arxiv preprint, https://arxiv.org/abs/2012.10353.
2020 : “Stable maps to Looijenga pairs", with Andrea Brini and Michel van Garrel, arxiv preprint, https://arxiv.org/abs/2011.08830.
2020 : “Strong positivity for the skein algebras of the 4-punctured sphere and of the 1- punctured torus", arxiv preprint, https://arxiv.org/abs/2009.02266 .
2020 : “Real Log Curves in Toric Varieties, Tropical Curves, and Log Welschinger Inva- riants", with Hülya Argüz, arxiv preprint, https://arxiv.org/abs/2004.05124.
2020 : “Scattering diagrams, sheaves and curves", arxiv preprint, https://arxiv.org/abs/2002.08741.
2 2020 : “Holomorphic anomaly equation for (P ,E) and the Nekrasov-Shatashvili 2 limit of local P ", with Honglu Fan, Shuai Guo, Longting Wu, https://arxiv.org/abs/2001.05347, published in Forum of Mathematics, Pi.
2 2019 : “A proof of N.Takahashi’s conjecture for (P ,E) and a refined sheaves/Gromov– Witten correspondence", arxiv preprint, https://arxiv.org/abs/1909.02992.
2 2019 : “Scattering diagrams, stability conditions, and coherent sheaves on P ", arxiv pre- print, https://arxiv.org/abs/1909.02985.
2019 : “On the log-local principle for the toric boundary", with Andrea Brini and Michel van Garrel, arxiv preprint, https://arxiv.org/abs/1908.04371.
2019 : “Refined floor diagrams from higher genera and lambda classes", https://arxiv.org/abs/1904.10311, published in Selecta Mathematica.
2018 : “On an example of quiver Donaldson-Thomas/relative Gromov-Witten correspon- dence", https://arxiv.org/abs/1811.02448, published in International Mathematics Research Notices..
2018 : “Quantum mirrors of log Calabi-Yau surfaces and higher genus curves counting", https://arxiv.org/abs/1808.07336, published in Compositio Mathematica.
2018 : “The quantum tropical vertex", https://arxiv.org/abs/1806.11495, published in Geometry and Topology.
2017 : “Refined tropical curve counting from higher genera and lambda classes", https://arxiv.org/abs/1706.07762, published in Inventiones Mathematicae, 215(1), 1–79, 2019. Invited research talks at international conferences
2021 : The flow tree formula for quivers with potentials, Swiss Map site visit poster session, online, 25 May 2021.
2020 : A scattering diagram for coherent sheaves on the projective plane, FRG Workshop on Moduli Spaces and Stability, online, 7 December 2020.
2020 : Skein algebras from higher genus mirror symmetry, Floer-theoretic and algebro-geometric aspects of SYZ mirror symmetry, 1 October 2020.
2020 : Strong positivity for the skein algebras of the 4-punctured sphere and of the 1-punctured torus, 7th SwissMAP General Meeting, 7 September 2020.
2020 : Quasimodular forms from Betti numbers, Hausdorff school, Perverse sheaves in enumerative geometry, Bonn, 10 February 2020.
2020 : Quasimodular forms from Betti numbers, 5th KTGU workshop, Kyoto university, 7 February 2020.
2020 : Quasimodular forms from Betti numbers, Rencontres en géométrie énumérative et réelle, Nantes, 21 January 2020.
2 2 2019 : Scattering diagrams, sheaves on P and curves in P relative to a smooth cubic, 3 hours lecture series given at the Beijing-Zurich Moduli Workshop, Beijing, 9-12 September 2019.
2019 : Towards DAHA from tropical geometry, Workshop Mirror symmetry and cluster algebras, Cambridge, 15 July 2019.
2019 : A proof of a conjecture of N. Takahashi, Logarithmic Enumerative Geometry and Mirror Symmetry, Oberwolfach, 17 June 2019.
2019 : A proof of Takahashi’s conjecture, New Perspectives in Gromov-Witten Theory, Summer School, Paris, 4 June 2019.
2019 : Tropical geometry and coherent sheaves on the projective plane, Tropical Geometry : new directions, Oberwolfach, 3 May 2019.
2019 : On the Betti numbers of moduli spaces of semistable sheaves on the projective plane, Moduli in Budapest, 4 April 2019.
2019 : Higher genus wall-crossing and quantization, Mirror symmetry and related topics, Miami, 28 January-2 February 2019.
2018 : Quantum mirrors of log Calabi-Yau surfaces and higher genus curve counting, Tropical geo- metry in Europe, Nantes, 21-23 November 2018.
2018 : The quantum tropical vertex, Workshop on Geometry and Mathematical Physics, Warwick University, 09 July 2018.
2018 : Quantum mirrors of log Calabi-Yau surfaces and higher genus curves counting, Structures in enumerative geometry, MSRI workshop, Berkeley, 22 March 2018.
2017 : Quantum mirrors of log Calabi-Yau surfaces and higher genus curves counting, Open Gromov-Witten theory, integrable hierarchies and mirror symmetry conference, ETH, Zurich, 17-20 October 2017. 2017 : DT invariants from holomorphic curves and a geometric interpretation of Block-Göttsche invariants, Modern Moduli Theory Graduate School, Oxford, 20 September 2017.
2017 : DT invariants from holomorphic curves and a geometric interpretation of Block-Göttsche invariants, Workshop on Algebraic Geometry and Physics, SISSA, Trieste, Italy, 20 June 2017.
2016 : Around the GW/Kronecker correspondence, Workshop : Curves on surfaces and 3-folds, EPFL, Lausanne, 21 June 2016.
2014 : Around the GW/Kronecker correspondence, ERC - FIRB workshop Mirror symmetry, enu- merative geometry and related topics, Pavia, Italy, 27 May 2014.
Invited research talks at regular seminars
2021 : Online KIAS Weekly Geometry Seminar, Seoul, 27 May 2021.
2021 : Online Joint Harvard-CUHK-YMSC Differential Geometry Seminar, 6 April 2021.
2021 : Online Geometry, Symmetry and Physics seminar, Yale University, 23 February 2021.
2021 : Online Colloquium of the ZMP, Hamburg, 18 February 2021.
2021 : Online Séminaire AG, Laboratoire de Mathématiques de Versailles, 2 February 2021.
2021 : Online derived seminar, 13 January 2021.
2020 : Online Boston University Geometry and Physics Seminar, 3 December 2020.
2020 : Online Séminaire d’Analyse et Géométrie, Jussieu, Paris, 17 November 2020.
2020 : Online Northwestern Geometry and Physics Seminar, 13 November 2020.
2020 : Online Informal String Math Seminar, Berkeley, 3 November 2020.
2020 : Online Greater Washington Topology Seminar, 23 October 2020.
2020 : Séminaire Arithmétique et Géométrie Algébrique, Orsay, 6 October 2020.
2020 : Online UBC Algebraic geometry seminar, 2 October 2020.
2020 : Online ETH Algebraic geometry and moduli seminar, 25 September 2020.
2020 : Online working group on scattering diagrams, Paris, 18 June 2020.
2020 : Online ETH Zoominar, 3 June 2020.
2020 : Online University of California San Diego Algebraic Geometry seminar, 15 May 2020.
2020 : Online EDGE Algebraic Geometry seminar, Edinburgh 12 May 2020.
2020 : Online Trieste Algebraic Geometry seminar, 6 May 2020.
2020 : Online KCL geometry seminar, 28 April 2020. 2020 : Seminar of Physical Mathematics, Heidelberg University, 13 January 2020.
2019 : Séminaire Fables géométriques, Geneva University, 4 November 2019.
2019 : ETH Algebraic geometry and moduli seminar, 30 October 2019.
2019 : Algebraic geometry seminar, Warwick University, 22 October 2019.
2019 : Algebraic geometry seminar, Sheffield University, 17 October 2019.
2019 : Séminaire de géométrie algébrique, Angers, 14 June 2019.
2019 : ETH Algebraic geometry and moduli seminar, 29 Mai 2019.
2019 : London Geometry and Topology Seminar, Imperial College London, 10 Mai 2019.
2019 : MAGIC seminar, Imperial College London, 7 Mai 2019.
2019 : Berkeley, 19 April 2019.
2019 : Austin, 11 April 2019.
2019 : Séminaire de géométrie énumérative, Jussieu, 8 February 2019.
2018 : Séminaire Arithmétique et Géométrie Algébrique, Orsay, 11 December 2018.
2018 : Topology and Geometry Seminar, Hebrew University, Jerusalem, 4 Décembre 2018.
2018 : Algebraic geometry and moduli seminar, ETH Zurich, 5 October 2018.
2018 : KCL/UCL Geometry Seminar, University College London, 7 February 2018.
2017 : Algebraic Geometry Seminar, Hamburg University, 22 November 2017.
2017 : Algebraic Geometry Seminar, Warwick University, 31 October 2017.
2017 : Algebraic Geometry Seminar, Sheffield University, 24 October 2017.
2017 : Séminaire de géométrie tropicale, Jussieu, Paris, 11 October 2017.
2017 : Séminaire d’Analyse et Géométrie, Jussieu, Paris, 10 October 2017.
2017 : The London Geometry and Topology seminar, 16 June 2017.
2017 : ETH Algebraic geometry and moduli seminar, 3 March 2017.
2016 : Cambridge Algebraic Geometry Seminar, 19 October 2016.
2016 : KIAS Algebraic Geometry Seminar, Seoul, 2 March 2016. Expository talks
2021 : Cluster-like structures from flat surfaces, online talk, Groupe d’étude Amas, car- quois et géométrie (Université Paris-7), 09 April 2021.
2020 : DT invariants of 3-gon quivers, Working group on scattering diagrams, online talk, 12 June 2020.
2018 : Symplectic cohomology of log Calabi-Yau surfaces, BIGWII workshop, 18 July 2018.
2018 : Deformation quantization, cluster varieties and mirror symmetry, UCL/KCL Ju- nior Geometry Seminar, Kings College London, 31 May 2017.
2018 : Euler characteristic of moduli spaces of Riemann surfaces, Junior Geometry Semi- nar, Imperial College London, 04 May 2017.
2018 : Stability conditions for K3 surfaces, Symplectic cut seminar, University College London, 02 May 2017.
2017 : Mirror symmetry for weighted projective spaces, Symplectic cut seminar, Kings College London, 29 November 2017.
2017 : Hodge theory and Kähler manifolds, Junior Geometry Seminar, 20 January 2017.
2016 : A complete knot invariant via microlocal sheaves, Symplectic cut seminar, Kings College, London, 30 November 2016.
2016 : The Legendre family, UCL/KCL Junior Geometry Seminar, 27 October 2016.
2016 : Donaldson-Thomas invariants of quivers, KIAS I-seminar, Seoul, 29 February 2016.
2016 : The Stokes phenomenon, Junior Geometry Seminar, Imperial College, London, 12 February 2016.
2015 : Homological mirror symmetry for elliptic curves, Symplectic cut seminar, Kings College, London, 1 December 2015.
2015 : Donaldson-Thomas invariants of quivers, Junior Geometry Seminar, Imperial Col- lege, London, 13 February 2015.
2013 : An example of space of stability conditions, REGA seminar, IHP, Paris, 4 Decem- ber 2013.
2012 : Plane curves singularities, Junior Geometry Seminar, Imperial College, London, 22 November 2012. Teaching
2020 : Supervision of a master’s student Master thesis at ETH Zurich (February- September 2020). 2020 : Series of lectures (total : 5 hours), Kyoto University, February 2020.
2019 : Supervision of a master’s student at ETH Zurich for a reading course on cohomo- logy of sheaves (September-December 2019).
2019 : Series of lectures : Tropical geometry, log geometry, and applications to Gromov- Witten theory (total : 5 hours), 20 February-1 March 2019, ETH Zurich.
2018 : Demonstrating and marking for the second year course M2PM5 : Metric spaces and topology, by Professor Tom Coates, Imperial College.
2018 : Demonstrating and marking for the second year course M2AA1 : Differential equa- tions, by Professor Sebastian van Strien, Imperial College.
2017 : Demonstrating and marking for the second year course M2AA2 : Multivariable Calculus, by Professor Andrew Walton, Imperial College.
2017 : Demonstrating and marking for the second year course M2PM2 : Algebra II, by Professor Martin Liebeck, Imperial College.
2017 : Inviligation for Imperial College exams, May 2017.
2017 : Demonstrating and marking for the second year course M2AA1 : Differential equa- tions, by Professor Sebastian van Strien, Imperial College.
2016 : Marking for the third year course M3P14 : Elementary Number Theory, by Doctor David Helm, Imperial College.
2016 : Demonstrating and marking for the second year course M2PM2 : Algebra 2, by Doctor John Britnell, Imperial College.
2016 : Second marking for the final exam of the second year course M2PM1 : Real Ana- lysis, by Professor Michael Ruzhansky, Imperial College.
2016 : Demonstrating and marking for the second year course M2PM3 : Complex Ana- lysis, by Professor Ari Laptev, Imperial College.
2015 : Demonstrating and marking for the first year course M1F : Foundations of Ana- lysis, by Professor Alessio Corti, Imperial College. Some Conferences and Workshops attended
2019 : The geometry of algebraic varieties, CIRM, Marseille, 30 September-4 October 2019.
2019 : Winter School on Enumerative Geometry and Modular Forms, Frankfurt am Main, 11-15 February 2019.
2018 : Workshop on Degenerate Contributions to Enumerative Invariants, Imperial Col- lege London, 30 July-3 August 2018.
2018 : British Isles Graduate Workshop II, Singularities and Symplectic Topology, Jersey, 14-20 July 2018.
2017 : Algebraic Geometry and Complex Geometry, CIRM, Marseille, 11-15 December 2017.
2017 : Modern Moduli Theory Graduate School, Oxford, 18-22 September 2017.
2017 : British Algebraic Geometry meeting, Cambridge, 11-13 September 2017.
2017 : String Math 2017, University of Hamburg, 24-28 July 2017.
2017 : GAel XXV, University of Bath, 26-30 June 2017.
2017 : Workshop on Algebraic Geometry and Physics, SISSA, Trieste, 19-23 June 2017.
2017 : Workshop : Stability conditions, Donaldson-Thomas invariants and cluster varie- ties, University of Sheffield, 9-13 January 2017.
2016 : Advanced School and Workshop on Moduli Spaces, Mirror Symmetry and Enume- rative Geometry, ICTP, Trieste, 1-19 August 2016.
2016 : String Math 16, Collège de France, Paris 27 June-2 July 2016.
2016 : Workshop : Curves on surfaces and 3-folds, EPFL, Lausanne, 20-24 June 2016.
2016 : String geometry and BPS state counting, IHP, Paris, 25-27 April 2016.
2016 : Introductory school : Program on the mathematics of string theory, CIRM, Mar- seille, 11-15 April 2016.
2016 : Conference and winter school on : Tropical geometry, Berkovich spaces and mirror symmetry, KIAS, 22-26 February, 2016
2016 : Geometry and Physics : Mirror symmetry, Hodge theory, and related topics, Uni- versity of Miami, 25-30 January, 2016
2015 : Workshop : Derived Categories and Moduli Spaces, Stavanger, Norway, 8-10 Sep- tember 2015
2015 : 2015 Summer Research Institute on Algebraic Geometry, Salt Lake City, Utah, 13-31 July 2015 2014 : Algebra, Geometry and Physics : a conference in honor of Maxim Kontsevich, IHES, 23-27 June 2014
2014 : ERC - FIRB workshop Mirror symmetry, enumerative geometry and related topics, Pavia, Italy, 26-30 May 2014
2014 : Groupe de travail non-perturbatif, IHES, 21 March-11 April 2014.
2014 : Complex-algebraic aspects of tropical geometry, EPFL Lausanne, 17-21 March 2014.
2014 : Physique mathématique des nombres de Hurwitz pour débutants, IHES, 13-15 February 2014.
2014 : Quantum cohomology and quantum K-theory, Paris 7, 15-17 January 2014.
2013 : Wall crossing in Hitchin integrable systems, IHES, 7 November 2013.
2013 : Oberwolfach Seminar : Cluster Algebras and Representation Theory, 13-19 Octo- ber 2013.
2013 : Cohomology of the moduli space of curves, ETH Zurich, 10-12 October 2013.
2013 : DT-invariants in Paris, Paris 7, 17-21 June 2013.
2013 : États de la recherche : Géométrie Symplectique et de Contact, ENS, 7-9 January 2013.
2012 : Summer school, Bethe Forum, Lecture Series on Mathematical String Theory, Bonn, 2-13 July 2012.
2012 : Operads and Homotopy Commutative Structures, doctoral school of the IHP, May- June 2012.
Organization
2017 : Coorganizer with Emily Maw and Andrea Tirelli of the British Isle Workshop, "Higgs bundles : algebraic and differential geometric perspectives", 2nd - 8th April 2017, Isle of Wight, mentored by Laura Schaposnik, Marina Logares and Ben Davison, attended by 37 graduate students. http://wwwf.imperial.ac.uk/ at515/bigworkshop.html Reviewer work
2021 : Reviewer for Compositio Mathematica, Inventiones Mathematicae, Journal of Al- gebraic Geometry, and Geometry and Topology.
2020 : Reviewer for International Mathematics Research Notices, Selecta Mathematica, Journal de l’École polytechnique and the Journal of the London Mathematical Society. Reviewer for AMS Mathematical Reviews.
2019 : Reviewer for Transactions of the American Mathematical Society, International Mathematics Research Notices and Proceedings of the American Mathematical Society.
2018 : Reviewer for Le Journal de l’Institut de Mathématiques de Jussieu and Interna- tional Mathematics Research Notices.