Curriculum Vitae

Contact

Employment

2010 - Present
Hadamard Associate Professor, École Polytechnique, Paris, France.

2008 - 2010
Triennial Assistant Professor, Rutgers The State University of New Jersey, New Brunswick, NJ.

2008 (fall)
Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, CA.

2008 (summer)
SPUR Mentor and MITES Instructor, Massachusetts Institute of Technology, Cambridge, MA.

2007 - 2008
Member, School of Mathematics, Institute for Advanced Study, Princeton, NJ.

Education

2003 - 2008
Ph.D. student in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, under Prof. W.T. Gowers, FRS. Funded by the Engineering and Physical Sciences Research Council and the Gates Cambridge Trust.

2006 (spring)
Visiting graduate student at the Massachusetts Institute of Technology, Cambridge MA, USA, under the supervision of Prof. B.J. Green.

2005 (fall)
Pre-doc position at the Departament de Matematica Aplicada IV, Universitat Politecnica de Catalunya, Barcelona, Spain, with Prof. Oriol Serra Albo. Sponsored by the EU Marie Curie Research Training Network COMBSTRU.

2002 - 2003
Clare College, University of Cambridge: Certificate of Advanced Study in Mathematics with Distinction (Part III of the Mathematical Tripos).

1999 - 2002
Clare College, University of Cambridge: BA (Hons) Mathematics (First Class).

1990 - 1999
Wagenburg-Gymnasium Stuttgart, Germany: 'Abitur' in June 1999 with final grade 1.0 (majors: Mathematics, Physics, English and History; minors: Latin, Spanish, German, Politics, Geography, Music and Ethics).

Awards and Prizes

2011 (fall)
Visiting Fellowship, Erwin Schrodinger Institute, Vienna.

2011 (spring)
Visiting Fellowship, Isaac Newton Institute, Cambridge.

2008
Rogers Family Awards for supervising the undergraduate summer research projects of C. Link and Y. Lin, Massachusetts Institute of Technology.

2003 - 2007
Gates Cambridge Scholarship, Bill and Melinda Gates Foundation.

2003
Robins Prize, Clare College, University of Cambridge.

2002
Harry Paten Scholarship in Mathematics and Owst Prize for Mathematics, Clare College, University of Cambridge.

Languages

Human
English, German and Spanish fluent, good French, basic Italian and Arabic, Latin diploma.

Programming
Mathematica, C, and enough HTML, PHP and JavaScript to maintain this website.

Research Interests

My research focuses on arithmetic structures in dense sets of integers and combines Fourier analytic, combinatorial and probabilistic methods. It is part of a thriving area called arithmetic combinatorics, a subject that includes many beautiful results such as the Green-Tao Theorem on long arithmetic progressions in the primes. It has close connections with parts of ergodic theory and theoretical computer science.

Publications

See Papers and Preprints.

Talks and Conferences

See Talks and Conferences.

Teaching

For more detail see my teaching pages.

In spring 2012 I am planning to teach a graduate course at École Polytechnique entitled Mathématiques discrètes, combinatoire arithmétique et codes (MAT562), whose main theme will be the interactions between arithmetic combinatorics and computer science.

I am currently teaching Petites Classes for Analyse Réelle et Complexe (MAT311) at École Polytechnique.

In the fall semester 2010 I taught Petites Classes for Distributions, Fourier Analysis and Dynamical Systems (MAT431).

During the summer 2010 I taught Advanced (multivariable) Calculus in the program Minority Introduction To Science and Engineering (MITES) at the Massachusetts Institute of Technology.

During the spring semester 2010 I taught a graduate course entitled Topics in Probability and Ergodic Theory: Arithmetic structure in the integers and the primes (592) at Rutgers.

During the spring and fall semesters 2009 I taught Mathematical Theory of Probability (477) and Calculus II for the Mathematical and Physical Sciences (152) at Rutgers. I also supervised the independent study project (493) of junior T. Nguyen.

During the summer of 2008 I supervised the research projects of undergraduates Y. Lin and C. Link at the Massachusetts Institute of Technology as part of the Summer Program in Undergraduate Research (SPUR).

At the same time I taught Advanced (multivariable) Calculus in the program Minority Introduction To Science and Engineering (MITES) at the Massachusetts Institute of Technology.

Between October 2003 and June 2007 I taught around 60 undergraduate students at the University of Cambridge in groups of two or three in Analysis I (first year), Probability (first year), Analysis II (second year) and Prime Numbers (fourth year).

Between April 2001 and June 2002 I was one of two student representatives on the Teaching Committee of the Faculty of Mathematics in the University of Cambridge.

During the summer of 2000 I worked for a local charity in Tejalpa, Mexico, teaching English and secondary-level mathematics to disadvantaged adults in evening classes and to young children during the day.

Other Professional Activities

Co-organizer of the Discrete Math Seminar at Rutgers, Spring and Fall 2009, together with Prof. Van Vu.
Co-organizer of the Analysis Seminar at the Institute for Advanced Study, Spring 2008, together with Dr. Tom Sanders.
Reviewer for mathscinet and Zentralblatt MATH.
Referee for various journals.
Member of the American Mathematical Society and the London Mathematical Society.

Recreational Activities

Music
Numerous performances with amateur orchestras, most recently the Cambridge Symphony and the Mercury Orchestra in Cambridge, MA and the Cambridge Graduate Orchestra (orchestral manager and section leader violin II) in Cambridge, UK.

Voluntary work
MA, NJ and NY state-certified Emergency Medical Technician with BLS and ACLS. Most recently volunteered with the Central Park Medical Unit in Manhattan, in the past worked with the British Red Cross, at Addenbrooke's hospital and with Student Community Action, Cambridge.

Sports
Certified vinyasa teacher, Yoga Alliance US and Fédération Française de Yoga.

PDF version

Available upon request.