Publications
N. Lev, M. Matolcsi: The Fuglede conjecture for convex domains is true in all dimensions, Acta Mathematica, to appear (2022)
K. Gyarmati, M. Matolcsi, I.Z. Ruzsa: A superadditivity and submultiplicativity property for cardinalities of sumsets, Combinatorica, 2010, Volume 30, Number 2, Pages 163-174.
P. Jaming, M. Matolcsi, P. Móra, F. Szöllősi, M. Weiner: A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6, J. Physics A: Mathematical and Theoretical, Vol. 42, Number 24, 245305, (2009).
M. N. Kolountzakis, M. Matolcsi: Tiles with no spectra, Forum Math., 18 (2006), 519-528.
M. Matolcsi: Fuglede’s conjecture fails in dimension 4, Proc. Amer. Math. Soc. 133 (2005), no.10, 3021-3026.
Awards
BJMT Grünwald Géza award, 2002
MTA Alexits György award, 2007
Erwin Schröndinger Institute, Junior Fellowship 2008
Projects
Fourier analysis: theory and applications, 2019-2023, NKFIH-132097, PI
Research on matrices and their applications, 2015-2017, OTKA, PI
Harmonic Analysis and Applications to Geometry And Combinatorics And
Number Theory (HAAGACANT), 2012-2013, MTA-CNRS project, PI
Theory and application in mathematical analysis, 2006-2009, OTKA postdoctoral fellowship, PI
Conferences
Selected invited talks:
Positive definite functions and the problem of mutually unbiased bases, Frame Theory and Exponential Bases, ICERM, Brown University, Providence, Jun 4-8, 2018.
Colouring the plane with sets avoiding the unit distance, Vilnius Conference in Combinatorics and Number Theory, Vilnius, Lithuania, July 16 - July 22, 2017
Improved bounds for planar sets avoiding unit distances,
Additive combinatorics in Bordeaux, 11-15, April, 2016.
Sets Avoiding Quadratic (or Cubic) Residues mod m,
Additive combinatorics in Marseilles, CIRM, September 9, 2015.
Difference sets and positive exponential sums, Additive Combinatorics in Paris 2012, Institut Henri Poincaré, Paris, July 9-13, 2012.
Plünnecke’s inequality for different summands, Clay-Fields Conference on Additive Combinatorics, Number Theory, and Harmonic Analysis, April 05-13, 2008, Fields Institute, Toronto, Canada.
The solution of the spectral set conjecture, CIRM conference on ‘Interface between harmonic analysis and number theory’, Marseille, 17-22/10/2005
Conferece organization:
First Analysis Mathematica International Conference, Alfréd Rényi Institute of Mathematics, Budapest, August 12–17, 2019.
Conference on Approximation Theory – dedicated to the 70th birthday of József Szabados- Rényi Institute, Budapest, Jul 6-12, 2008.
Other activities
BJMT Grünwald Géza award committee member
MTA Bolyai scholarship committee member
OTKA research grants, mathematics committee member