Archives of the Mathematisches Forschungsinstitut Oberwolfach

Ignacio Barros

I am a postdoc in Université Paris-Saclay funded by the ERC Synergy Grant HyperK.

I received my PhD from Humboldt-Universität zu Berlin in August 2018, under the supervision of Gavril Farkas and Rahul Pandharipande. After that I was a Zelevinsky Postdoctoral Fellow at Northeastern University.

Here is my CV

Google Scholar, ORCID, ArXiv

Research Interests

Algebraic geometry with connections to other fields. More specifically: algebraic curves, K3 surfaces, hyperkähler varieties, abelian varieties, sheaves and their moduli spaces. I am also interested in strata of differentials, flat geometry and Teichmüller dynamics.

Contact

Email: name.surname[at]universite-paris-saclay[dot]fr
Office: 2F22

Mailing Address:

Université Paris-Saclay
Laboratoire de mathématiques d'Orsay
Rue Michel Magat, Bât. 307
91405 Orsay, France

Activities/Events:

AMS special session, Spring Eastern Sectional Meeting at Brown University Moduli of curves, Hilbert Schemes, and Tropical Geometry, March 21-22, 2021. ONLINE

AMS special session, Moduli of curves, Hilbert Schemes, and Tropical Geometry, March 21-22, 2020. Canceled due to COVID-19

Fourth Latin American School on Algebraic Geometry and its Applications (ELGAIV), December 2-13, 2019.

Publications and preprints

On the birational geometry of the moduli of hyperelliptic curves, with S. Mullane, Preprint (2021).
ArXiv
On the irrationality of moduli spaces of K3 surfaces, with D. Agostini and K.-W. Lai, Preprint (2020).
ArXiv
Pencils on surfaces with normal crossings and the Kodaira dimension of M_{g,n}, with D. Agostini, Forum of Mathematics, Sigma 9 (2021), E31, 1-22. With an auxiliary Macaulay2 code
Journal / ArXiv
On product identities and the Chow rings of holomorphic symplectic varieties, with L. Flapan, A. Marian, and R. Silversmith, Preprint (2019).
ArXiv
Two moduli spaces of Calabi-Yau type, with S. Mullane, Int. Math. Res. Not. IMRN (2019), rnz264, https://doi.org/10.1093/imrn/rnz264.
Journal / ArXiv
Geometry of the moduli space of n-pointed K3 surfaces of genus 11, Bull. London Math. Soc. 50 (2018), 1071-1084.
Journal / ArXiv
Uniruledness of strata of holomorphic differentials in small genus, Advances in Mathematics 333 (2018), 270-693.
Journal / ArXiv
K3 surfaces and moduli of holomorphic differentials, PhD Thesis, Humboldt-Universität zu Berlin, August 2018.
Thesis

Mentoring

I am a Math Alliance undergraduate mentor. Alliance pre-doctoral Mentors are typically math sciences faculty at colleges and universities who have committed themselves to mentoring and encouraging undergraduate students who come from ethnic groups, families and/or regions that have had little prior experience with doctoral study in the mathematical sciences. See here for more information about the goals of the Alliance. Here you can see my Alliance website. Please contact me if your are interested. I am very eager to help in any way possible.

Teaching

Northeastern University

Fall 2020: MATH 1341 Calculus 1

Spring 2020: MATH 3175 Group Theory

Fall 2019: MATH 7735 Readings in Algebraic Geometry

Spring 2019: MATH 1365 Introduction to Mathematical Reasoning

Fall 2018: MATH 1365 Introduction to Mathematical Reasoning

Humboldt-Universität zu Berlin

WiSe 2016/2017: (TA) Algebraic Geometry 2

Seminars

Take a look at this fantastic online Colloquium en español!
Séminaire Arithmétique et Géométrie Algébrique, LMO
Groupe de travail: Intégration motivique et rationalité stable
Bonn-Paris reading seminar

Notes/Slides/Talks

Talk (video) on the irrationality of moduli of K3s, Derived Seminar, February 16, 2021
Boston College (video), October 22, 2020
ETH, April 17, 2020
IGAFA, February 12, 2019

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Laboratoire de mathématiques d'Orsay, Université Paris-Saclay, Rue Michel Magat, Bât. 307, 91405 Orsay,France