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Profile Marc Masdeu

Here is my CV, which you can also download as pdf.

Marc Masdeu


Interested in effective methods for Number Theory and Arithmetic Geometry

Specifically, automorphic forms and their L-functions, non-archimedean overconvergent methods, algebraic points on abelian varieties.


Positions

Mar 17 – present
Investigador Ramon y Cajal; Universitat Autònoma de Barcelona. Bellaterra, Catalunya.
Sept 15 – Feb 17
Marie Skłodowska-Curie Fellow; University of Warwick. Coventry, United Kingdom
Jan 14 – Aug 15
Research Associate; University of Warwick. Coventry, United Kingdom
Jul 10 – Dec 13
Ritt Assistant Professor; Columbia University. New York, United States

Education

Sep 07 – May 10

PhD, Mathematics; McGill University.

Thesis: CM-cycles on varieties fibered over Shimura curves, and p-adic L-functions

Aug 05 – Aug 07
M.S. in Pure Mathematics; U. of Illinois at Urbana–Champaign.
Sep 99 – Jul 05

Telecommunication Engineering; U. Politècnica de Catalunya. Rank 5th of 290.

Essay: Elliptic Curve Cryptography: A software perspective

Sep 99 – May 04
Mathematics “Llicenciatura”; U. Politècnica de Catalunya. Rank 3rd of 40.

Awards

2016
Beca Ramon y Cajal
2015
Marie Skłodowska-Curie Fellowship, with Samir Siksek (Warwick).
2008 & 2009
Schulich Graduate Fellowship
2008
Institut des Sciences Mathématiques. Graduate Fellowship
2004
La Caixa Fellowship

Publications

  1. An automorphic approach to Darmon points

    To appear in Indiana University Mathematics Journal. With X. Guitart and S. Molina.

  2. Computing p-adic periods of abelian varieties from automorphic forms

    Contemporary Mathematics Vol 732, 2019. With X. Guitart.

  3. Periods of modular GL2-type abelian varieties and p-adic integration

    Experimental Mathematics Vol. 27 (3), pp. 344-361, 2018. With X. Guitart.

  4. Appendix to On Heegner Points for primes of additive reduction ramifying in the base field

    Trans. Amer. Math. Soc., Vol. 370 (2018), pp. 911–926. With D. Kohen and A. Pacetti.

  5. Uniformization of modular elliptic curves via p-adic periods

    Journal of Algebra Vol. 445 (2016), pp. 458–502. With X. Guitart and M.H. Sengun.

  6. Dirac operators in tensor categories and the motive of quaternionic modular forms

    Advances in Mathematics, Vol. 313, 20 June 2017, pp. 628–688. With M. Seveso.

  7. Poincaré duality isomorphisms in tensor categories

    Journal of Pure and Applied Algebra, Vol. 222 (2017), Issue 10, October 2018, pp. 3075–3123. With M. Seveso.

  8. Darmon points on elliptic curves over number fields of arbitrary signature

    Proceedings of the LMS Vol. 111 (2015), pp. 484–518. With X. Guitart and M.H. Sengun.

  9. A p-adic construction of ATR points on Q-curves

    Publicacions Matemàtiques Vol. 59 (2015), pp. 511–545. With X. Guitart.

  10. Overconvergent cohomology and quaternionic Darmon points

    J. Lond. Math. Soc. Vol. 90 (2014), no. 2, pp. 495–524. With X. Guitart.

  11. Elementary matrix decomposition and the computation of Darmon points with higher conductor

    Mathematics of Computation. Vol. 84 (2015), N. 292, pp. 875–893. With X. Guitart.

  12. Computing fundamental domains for the Bruhat–Tits tree for GL2(Qp), p-adic automorphic forms, and the canonical embedding of Shimura curves

    LMS Journal of Computation and Mathematics. Vol. 17, issue 01, pp. 1–23, 2014. With C. Franc.

  13. Computation of ATR Darmon points on non-geometrically modular elliptic curves

    Experimental Mathematics. Vol. 22, pp. 85–98, 2013. With X. Guitart.

  14. Continued fractions in 2-stage euclidean quadratic fields

    Mathematics of Computation. Vol. 82, N. 282, April 2013, pp. 1223–1233. With X. Guitart.

  15. CM cycles on Shimura curves, and p-adic L-functions

    Compositio Mathematica. Vol. 148, issue 04, pp. 1003–1032, July 2012.

  16. Bézout domains and elliptic curves

    Comm. in Algebra. Vol. 36, No. 12., pp. 4492–4499, December 2008. With I. Goldbring.

  17. A note on dihedral polynomials of prime degree

    Indian J. Pure Appl. Math.. Vol. 36(6), pp. 295–300, June 2005. With J.-C. Lario.

Research Supervision

2019
Dídac Gil: TFG on When is the product of eigenforms an eigenform?.
Josep Maria Mateu: TFG on Torsion points of elliptic curves over number fields.
Alex Abregú: TFG on Isogenies on post-quantum cryptography.
2018
Sergi Burniol: TFG on Calculating the Selmer group of families of elliptic curves.
2016
Jun Bo Lau: URSS on Cohomology of congruence subgroups of SL(3,Z).
Mayur Dave: URSS on Computing Bianchi Modular forms.
Matthew Shaw: Fourth-year essay on p-adic Analysis and Zeta Functions.
Mayur Dave: Third-year essay on Complex Multiplication.
2015
Pip Goodman: URSS on Homology via Shapiro’s Lemma.
Daniel Olivares: Third-year essay on the Prime Number Theorem.
2013
Supervisor: Undergrad. Summer Res. on Pairing-based Crypto (w/ M. Woodbury).
2012
Adrien Brochard: on a project to implement splitting fields in Sage.
Nathan Booth (Rabi Scholar): on a research project on matrix decompositions.

Teaching Experience

  • Instructor (Universitat Autònoma de Barcelona) for Linear Algebra and Arithmetics. Fall 2017 - present.

  • Instructor (University of Warwick) for Modular Forms. Fall 2014, Fall 2015

  • Assistant (University of Warwick) for Maths in Action. Spring 2015.

  • Instructor (Columbia University) for Introduction to Modern Analysis. Summer 2012.

  • Instructor (Columbia University) for Linear Algebra. Spring 2012, Spring 2013, Fall 2013.

  • Instructor (Columbia University) for Calculus 1 and 2. Fall 2010, Spring 2011, Fall 2011, Fall 2012.

  • Marker (McGill University) for Higher Algebra (graduate course). Fall 2009.

  • Teaching Assistant (McGill University) for Math 141 (Calculus). Fall 2007, Winter 2008, Winter 2009.

Teaching Formation

  • Reviewing and Evaluating Your Teaching (University of Warwick): Explore the different purposes for reviewing and evaluating one’s own teaching (Jan 2015).

  • T-PULSE Workshop (McGill University): Improving teaching skills in science (Sept 2008).

Service & Organization

  • GAP – PARI – Sage Days 93

    Co-organizer (with V. Delecroix) of a workshop on Subgroups and lattices of Lie groups. Faber Residency, Olot (Catalunya), February 27 – March 10th, 2017.

  • Sage Days 84

    Co-organizer (with V. Delecroix) of Sage Days on Polytopes (in Sage, Python, polymake and more). Faber Residency, Olot (Catalunya), February 27 – March 10th, 2017.

  • Number Theory Seminar

    Organizer of the Warwick Number Theory Seminar, academic year 2015 – 2016.

  • Arithmetic of Euler Systems

    Co-organizer (with X. Guitart, D. Loeffler, S. Zerbes). Benasque (Spain), Aug 22 – 30, 2015.

  • PhD defence committee member

    For Carlos de Vera, Rational points on Shimura curves and Galois representations. Supervisor: Victor Rotger. UPC, Barcelona, November 2014.

  • Effective methods for Darmon points

    Co-organizer (with F. Fité, X. Guitart, J.-C. Lario and V. Rotger). Benasque (Spain), Aug 26 – 30, 2013.

  • Oral Exam committee member

    Vladislav Petkov, Automorphic Forms and Representations. Columbia University, March 2013.

  • Sato–Tate in Higher dimension

    Co-organizer (with X. Guitart and J.-C. Lario). Benasque (Spain), Jul 25 – Aug 06, 2011.

  • Oral Exam committee member

    Carlos de Vera, Rational points on Atkin–Lehner quotients of Shimura curves. UPC, May 2012.

  • Member, Committee for Graduate Affairs, Mathematics and Statistics

    McGill University, September 2009 – August 2010.

  • Member, Reviewing Board, Delta–Epsilon Magazine

    McGill University, September 2009 – August 2010.

  • Member, Computer and Equipment Committee, Mathematics and Statistics

    McGill University, September 2008 – August 2009.

  • Volunteer, Number Theory Fest

    University of Illinois at Urbana–Champaign, May 2007.

Research Stays

August 2018
Mathematisches Forschungsinstitut Oberwolfach (Germany)
Jun–Jul 2011
Max Planck Institute for Mathematics (Bonn, Germany)
May–Jun 2008
Università di Padova (Padova, Italy)
Sept–Dec 2004
Institut Henri Poincaré (Paris, France)
Jun–Sept 2002
University of California at Irvine (Irvine, USA)

Contributed Talks

October 2018
Automorphic Techniques in Arithmetic Geometry. Humboldt University, Berlin, Germany.
Sept 2017
IV Congreso de Jóvenes Investigadores RSME. València, Spain. Plenary speaker.
July 2017
Sage Days 87: p-adic numbers. University of Vermont, Burlington, VT.
July 2017
Automorphic Motives, Euler Systems & p-adic L-functions. Nisyros, Grece.
Jun 2017
Workshop Arithmetic Geometry and Computer Algebra. Oldenburg University, Oldenburg, Germany.
Jun 2017
Meeting of the Catalan, Spanish, Swedish Math Societies. Linköping University, Umeå, Sweden.
May 2017
Number Theory Seminar. Heidelberg University, Heidelberg, Germany.
Nov 2016
Number Theory Seminar. Nottingham University, Nottingham, UK.
Sept 2016
Automorphic Forms: Theory and Computation. King’s College, London, UK.
July 2016
Automorphic Forms and Related Topics. Sarajevo, Bosnia and Herzegovina.
Sept 2015
Modular forms & curves of low genus: computational aspects. ICERM, Providence, RI.
Sept 2015
II Congreso de Jóvenes Investigadores RSME. Múrcia, Spain.
May 2015
Number Theory Study Group. University of York, York.
Feb 2015
London Number Theory Seminar. University College London, London.
Dec 2014
Number Theory Seminar. Sheffield University, Sheffield.
Dec 2014
Number Theory Seminar. Bristol University, Bristol.
Oct 2014
p-adic Methods in Number Theory. Dip. Matematica “Federigo Enriques”, Milano.
Jul 2014
Number Theory Seminar. Universität of Duisburg–Essen, Essen.
Jul 2014
Automorphic Forms and Related Topics. Bristol University, Bristol.
Jul 2014
First Joint International Meeting. Euskal Herriko Unibertsitateko, Bilbao.
May 2014
Number Theory Seminar. Cambridge University, Cambridge.
Jan 2014
Number Theory Seminar. University of Warwick, Coventry.
Dec 2013
Canadian Math. Soc. Winter Meeting. Ottawa.
Aug 2013
Effective Methods for Darmon points. Centro de Ciéncias Pedro Pascual. Benasque.
Jun 2013
MEGA Conference. Goethe Universität, Frankfurt.
Feb 2013
Sage Days 44. University of Wisconsin, Madison.
Nov 2012
Automorphic Forms and Arithmetic. Columbia University, New York.
May 2012
Barcelona–Boston–Tokyo Number Theory. Univ. Politècnica de Catalunya, Barcelona.
Feb 2012
Number Theory Seminar. Université Laval, Québec.
Sept 2011
Collaborative Number Theory Seminar. City University of New York, New York.
Jul 2011
Oberseminar. Max-Planck-Institut für Mathematik, Bonn.
Feb 2010
Magma Conference: p-adic L-functions. C. Recherches Mathématiques, Montréal.
Dec 2009
Algebraic Cycles, Modular Forms, and Rational Points. C. Recerca Matemàtica, Barcelona.
Sep 2004
Sa Conjectura de Catalan. Menorca.

Other Information

  • Refereeing

    • For Compositio Mathematica, IMRN, International Journal of Number Theory, Mathematics of Computation, Acta Arithmetica.
    • Contributor to Mathematical Reviews (MR).
  • Outreach

    • STEMnet Ambassador . Promoting Science, Technology, Engineering and Mathematics to students in UK (April 2015 – March 2017).
    • Code Club at Clinton Primary, introducing pupils (Years 5, 6) to computer programming (Jan 2015 – December 2016).
  • Languages
    • Catalan and Spanish as native languages, proficient in English and French.
  • Computer skills
    • Advanced GNU–Linux user/admin.
    • Mathematics-oriented languages (Sage, Pari, Magma, Maple), and generic (Python, C/C++, Java).
  • Age and Citizenship
    • Born November 1st, 1981, in Barcelona. Spanish passport holder.

• +34 93 581 4553
Universitat Autònoma de Barcelona, Bellaterra – Catalunya