Dr. Carlos Enrique Améndola Cerón
Email: carlos (dot) amendola (at) tum.de
I am a postdoc at TU Munich in the research groups Mathematical Statistics led by Claudia Klüppelberg and Optimization and Data Analysis led by Felix Krahmer.
My main research interest is Algebraic Statistics. I am also very interested in developments concerning Applied Algebraic Geometry.
I graduated as a Mathematics PhD student in Bernd Sturmfels' Einstein Fellowship research group in "Nonlinear Algebra" at TU Berlin. My co-advisor was Christian Haase.
I have a B.S. in Applied Mathematics from Instituto Tecnológico Autónomo de México and an additional B.S. in Mathematics degree from Universidad Nacional Autónoma de México .
I also obtained an M.S. in Mathematics from Courant Institute at New York University.
Publications and Preprints
Discrete Gaussian Distributions via Theta Functions (with D. Agostini), submitted.
Computing Tropical Varieties in Macaulay2 (with K. Kohn, S. Lamboglia, D. Maclagan, B. Smith, J. Sommars, P. Tripoli and M. Zajaczkowska), submitted.
Maximum Number of Modes of Gaussian Mixtures (with A. Engström and C. Haase), submitted.
The Maximum Likelihood Degree of Toric Varieties (with N. Bliss, I. Burke, C. Gibbons, M. Helmer, S. Hoşten, E. Nash, J. Rodriguez and D. Smolkin), Journal of Symbolic Computation, to appear.
Solving Parameterized Polynomial Systems with Decomposable Projections (with J. Rodriguez), presented at MEGA 2017 Code
Algebraic Identifiability of Gaussian Mixtures (with K. Ranestad and B. Sturmfels), International Mathematics Research Notices (2017)
Moment Varieties of Gaussian Mixtures (with J-C. Faugère and B. Sturmfels), Journal of Algebraic Statistics , 7 (2016) 14-28
Maximum Likelihood Estimates for Gaussian Mixtures are Transcendental (with M. Drton and B. Sturmfels),
Mathematical Aspects of Computer and Information Sciences , (eds. I. Kotsireas, S. Rump and C. Yap), MACIS 2015, Berlin, (2016) 579-590.
PhD Thesis Algebraic Statistics of Gaussian Mixtures (2017). Advisor: Bernd Sturmfels , Christian Haase
Thesis Bases de Gröbner: una variedad de aplicaciones (Gröbner Bases: a variety of applications) (2013). Advisor: Dr. Leon Kushner Schnur
Thesis Una Introducción a la Estadística Algebraica (An Introduction to Algebraic Statistics) (2012). Advisor: Dra. Araceli Reyes Guerrero
Feb 27 - March 2, 2018: German Probability and Statistics Days, Freiburg
Feb 19 - 23, 2018: Linking Topology to Algebraic Geometry and Statistics, MPI Leipzig
Jan 10 - 13, 2018: Joint Mathematics Meetings, San Diego
Dec 11 - 12, 2017: OSCAR, MPI-MIS Leipzig
Nov 30 - Dec 2, 2017: Algebraic Methods in Statistics, Osnabrück
Nov 12 - 13, 2017: Talk at Berlin-Leipzig Seminar, FU Berlin
Nov 10, 2017: 2nd Algebraic Statistics Day, MPI Leipzig
Nov 6 - 7, 2017: Algebra Meets Numerics Workshop, TU Berlin
Nov 3, 2017: Talk at What is...? Seminar, TU Berlin
Oct 9 - 10, 2017: BMS-BGSMath Junior Meeting, Barcelona
Sept 19, 2017: Talk at Applied Algebra and Geometry Seminar, MIT
Aug 11, 2017: Algebraic Statistics Day, MPI Leipzig
July 31 - Aug 4, 2017: SIAM Applied Algebraic Geometry, Atlanta
July 27 - 29, 2017: Applied Macaulay2 Tutorials, Georgia Tech
July 10 - 19, 2017: Foundations of Computational Mathematics, Barcelona
July 3 - 7, 2017: Real Algebraic Geometry Workshop, MPI Leipzig
June 12 - 16, 2017: Effective Methods in Algebraic Geometry (MEGA 2017), Nice
June 10, 2017: Polynomials and Polytopes, TU Berlin
May 27, 2017: Interactions between Algebra and the Sciences, MPI Leipzig
May 22 - 24, 2017: Chow Lecture, MPI and University of Leipzig
May 11 - 12, 2017: Computing in Tropical Geometry Workshop, Zuse Institute Berlin
April 16 - 22, 2017: Algebraic Statistics Workshop, Oberwolfach
Feb 3, 2017: Polymake Workshop, TU Berlin
Jan 21, 2017: Reinhold-Baer Colloquium, TU Berlin
Jan 10 - 11, 2017: Workshop on Non-linear Algebra, Max Planck Institute Leipzig
Jan 8, 2017: Numerical Algebraic Geometry adjoint meeting, Georgia Tech
Jan 4 - 7, 2017: Joint Mathematics Meetings, Atlanta
Dec 13 - 15, 2016: Einstein Workshop on Lattice Polytopes, FU Berlin
Dec 13, 2016: Talk at Modern Methods in Applied Stochastics and Nonparametric Statistics Seminar, WIAS Berlin
Dec 12 - 13, 2016: Tensors: Algebra Meets Numerics, Max Planck Institute Leipzig
Nov 3 - 4, 2016: National Algebra Meeting, Oslo
Oct 12 - 14, 2016: Conference on Conditional Independence Structures and Extremes, TU Munich
Aug 29, 2016: Talk at Seminario de Matemáticas ITAM, México
Aug 17, 2016: Talk at Coloquio Instituto de Matemáticas UNAM, Cuernavaca
July 28 - 30, 2016: Crossroads: Workshop on Stochastic Analysis and Related Fields, HU Berlin
July 18 - 22, 2016: 7th European Congress of Mathematics, TU Berlin
July 11 - 15, 2016: SIAM Annual Meeting, Boston
July 4 - 8, 2016: Goethe Universität Summer School on Geometry of Valuations, Frankfurt
June 27 - July 2, 2016: Aalto Summer School on Algebra, Statistics and Combinatorics, Helsinki
June 12 - 18, 2016: AMS Mathematics Research Communities: Algebraic Statistics, Utah
May 23 - 26, 2016: Macaulay2 Workshop, University of Warwick
May 20 - 21, 2016: Geometry and Optimization with ALgebraic methods (GOAL) Workshop, Paris
May 9 - 13, 2016: Hausdorff School: Economics and Tropical Geometry, Bonn
March 18, 2016: Talk at Combinatorics Seminar, UC Berkeley
March 2, 2016: Talk at Algebra-Geometry-Combinatorics Seminar, San Francisco State University
Feb 27, 2016: MAA Golden Section Meeting, UC Davis
Feb 1, 2016: Talk at Applied Algebra Seminar, UC Berkeley
Jan 6 - 9, 2016: Joint Mathematics Meetings, Seattle
Dec 10, 2015: NonLinear Algebra Seminar, TU Berlin
Nov 18, 2015: Talk at Forschungszentrum Biosystemtechnik CDS theory seminar, Universität Magdeburg
Nov 17, 2015: Talk at Institut für Algebra und Geometrie, Universität Magdeburg
Nov 16, 2015: Talk at Graduiertenkolleg: Methods for Discrete Structures, FU Berlin
Nov 11 - 13, 2015: Mathematical Aspects of Computer and Information Sciences, ZIB Berlin
Oct 8 - 9, 2015: Meeting on Algebraic Vision, TU Berlin
Sept 1 - 30, 2015: Guest researcher GOAL team at UPMC-Lip6, Paris
June 29 - July 10, 2015: BMS Summer School: Convex Geometry, Berlin
June 15 - 19, 2015: Effective Methods in Algebraic Geometry (MEGA 2015), Trento
June 8 - 11, 2015: Algebraic Statistics 2015, Genova
May 29 - 30, 2015: Workshop on Nonlinear Algebra, Berlin
May 27 - 28, 2015: Tropical Döner Workshop, FU Berlin
April 10 - 11, 2015: Applied Math Days, Rensselaer Polytechnic Institute, New York