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

July 22 – present

Professor Titular interí; Universitat Autònoma de Barcelona. Bellaterra, Catalunya.

Mar 17 – July 22

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. Plectic p-adic invariants

   Advances in Mathematics, Volume 406 (2022). With M. Fornea and X. Guitart.

2. A quaternionic construction of p-adic singular moduli

   Research in the Mathematical Sciences, Volume 8 (2021). With X. Guitart and X. Xarles.

3. Special values of triple-product p-adic L-functions and non-crystalline diagonal classes

   J. Th. Nombres Bordeaux (Iwasawa 2019 special issue). With F. Gatti, X. Guitart and V. Rotger.

4. An automorphic approach to Darmon points

   Indiana Univ. Math. J. Volume 69 (2020), no. 4, 1251–1274. With X. Guitart and S. Molina.

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

   Automorphic forms and related topics (2019), 75–83, Contemp. Math., 732, AMS. With X. Guitart.

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

   Experimental Mathematics (2018), Volume 27, issue 3, pp 344–361. With X. Guitart.

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

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

8. 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.

9. 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.

10. 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.

11. 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.

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

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

13. Overconvergent cohomology and quaternionic Darmon points

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

14. 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.

15. 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.

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

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

17. Continued fractions in 2-stage euclidean quadratic fields

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

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

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

19. Bézout domains and elliptic curves

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

20. 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

2022

Valentina Gallardo: TFG on Criptografia basada en isogènies supersingulars.

Alejandro Tomé: TFG on Teoria de mòduls singulars.

Martí Pons: TFG on Teorema de Separació de Conjunts Borrosos Convexos.

2020

Eloi Torrents: TFM on Understanding the factorization mod p of polynomials via modular forms.

Àlex Padrós: TFG on Construcció de funcions-L p-àdiques.

Alba Garcia: TFG on Funcions theta i el teorema dels quatre quadrats de Jacobi.

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). 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

• Barcelona LEAN Seminar

  Co-organizer (with N. Castellana, E. Torrents, E. Vilalta, S. Borrós) a running weekly seminar on formalizing mathematics in LEAN.

• PhD defence committee member

  For Víctor Hernàndez, p-adic L-functions, p-adic Gross-Zagier formulas and plectic points. Supervisors: Santiago Molina, Victor Rotger. UPC, Barcelona, April 2022.

• Barcelona Mathematical Days

  Co-organizer (with A. Delshams, J. Vives and N. Fuster) of the triennial conference of the Societat Catalana de Matemàtiques. October 23-24, 2020.

• 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 19 – March 4th, 2018.

• 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.

• PhD defence committee member

  For Piermarco Milione, Shimura curves and their p-adic uniformizations. Supervisor: Pilar Bayer. UB, Barcelona, January 2016.

• 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

June 2022

9es Jornades de Teoria de Nombres. Logroño, Spain. April 2022

Greek Algebra and Number Theory Seminar. ONLINE.

April 2022

Laval Algebra and Number Theory Seminar. ONLINE.

February 2022

Heidelberg Number Theory Seminar. ONLINE.

April 2021

LFANT Seminar. ONLINE.

Februrary 2021

Real Academia de las Ciencias. ONLINE.

January 2021

Online Research Group Seminar, Groningen. ONLINE.

December 2020

Canadian Math Society Winter Meeting. ONLINE.

September 2020

Seminario Latinoamericano de Teoría de Números. ONLINE.

January 2019

Seminari de Teoria de Nombres de Barcelona. Universitat de Barcelona, Barcelona, Catalunya.

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, Journal of the LMS, Journal of Algebra, International Journal of Number Theory, Journal of Number Theory, Mathematics of Computation, Acta Arithmetica, Ann. Math. Quebec.
  • 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.

marc.masdeu@uab.cat • +34 93 581 4780
Universitat Autònoma de Barcelona, Bellaterra – Catalunya