GUILLERMO MANTILLA-SOLER

Transcription

1 GUILLERMO MANTILLA-SOLER Department of Mathematics +(571) Ext 5220 Universidad de los Andes Bogotá, Colombia. matematicas.uniandes.edu.co/ gmantilla Employment Universidad de los Andes Bogotá, Colombia Assistant Professor(TT) École Fédérale Polytechnique de Lausanne Lausanne, Switzerland Postdoctoral research fellow Mentor: Eva Bayer-Fluckiger University of British Columbia Vancouver, BC, Canada Postdoctoral research fellow Mentor: Nike Vatsal Education University of Wisconsin-Madison Madison, Wisconsin, USA Ph.D. in Mathematics M.A. in Mathematics 2006 Advisor Jordan S. Ellenberg Universidad de los Andes Bogotá, Colombia M.S. in Mathematics 2005 B.S. in Mathematics 2002 Advisor Xavier F. Caicedo Research interests Active interests: Algebraic number theory(invariants of number fields, integral trace forms, Dedekind zeta functions), Arithmetic algebraic geometry(iwasawa theory, Galois representations). Other: Commutative algebra, Applications of model theory to algebra. Research, preprints and publications The shape of Z/lZ-number fields. With M. Monsurrò. Ramanujan Journal DOI: /s The spinor genus of the integral trace form. Transactions of the American Mathematical Society DOI: /tran/6723 On the Arithmetic determination of the trace. Journal of Algebra (2015) Vol 444, Weak arithmetic equivalence. Canadian Mathematical Bulletin (2015) Vol 58 no 1, A space of weight 1 modular forms attached to totally real cubic number fields. Contemporary Mathematics 649, trends in number theory, (2015),

2 On number fields with equivalent integral trace forms. International Journal of Number Theory 8 (2012), no, 7, Power map permutations and symmetric differences on finite groups. Joint work with Márton Hablicsek. Journal of Algebra and its applications 10 (2011), no, 5, Integral trace forms associated to cubic extensions. Algebra and Number Theory 4 (2010), no, 6, Mordell-Weil ranks in towers of modular Jacobians. Ph.D thesis. Automorfismos polinomiales y la conjetura de Keller. Sponsored by the Research Fund of the Science Faculty, Universidad de Los Andes Teaching experience Algebra II/Galois theory, Second course in linear algebra, Algebraic number theory. Universidad de los Andes, Assistant to Eva Bayer Fluckiger for Algebra I, II at EPFL Conducting a learning seminar on classic Iwasawa theory for Graduate students at UBC. Fall Instructor for Matrix algebra, Integral and differential calculus at UBC Instructor, Summer Enhancement Program in Algebra 2008, 2009 and This class is for graduate students in the Math department(students in the class are usually at the beginning of their 1st, 2nd or 3d year). See for more information about SEP. Teaching Assistant for Linear Algebra, Calculus I, II, III and Business Calculus. University of Wisconsin, Madison, WI August Teaching Assistant for Calculus III, ODE S, Numerical Analysis. Universidad de los Andes, Bogotá, Colombia, January 2001-May Lecturer, Calculus I,II, Linear Algebra and Discrete Math. Universidad de los Andes, Bogotá, Colombia, January 2001-May Lecturer, Business Mathematics. Universidad del Rosario, Bogotá, Colombia, January 2004-May Instructor, Algebra Summer Course. Colegio San Carlos, Bogotá, Colombia, Summer Students supervised. Ongoing Luís Felipe Vargas. Undergraduate, Universidad de los Andes. Jerson Caro Reyes. Master, Universidad de los Andes. Wilmar Reinerio. Ph.D, Universidad de los Andes. Juanita Duque Rosero. Undergraduate, Universidad de los Andes. Santiago Arango. Undergraduate, Universidad de los Andes. Santiago Cortés. Undergraduate, Universidad de los Andes. Finished projects Approche algébrique du thórème de la progression arithmétique de Dirichlet by Gaüetan Gogniat. Third year year project at EPFL co-supervised by Eva Bayer-Fluckiger. Spring An elementary proof of the fundamental theorem of algebra by Filip Fifka. Second year project at EPFL, co-supervised by Eva Bayer-Fluckiger. Spring 2014.

3 Sur la transcendance de π et le thórème de Lindemann-Weierstrass by Philippe Atten. Fourth year project at EPFL co-supervised by Eva Bayer-Fluckiger. Fall Les nombres p-adiques by Erwan kohler. Third year project at EPFL co-supervised by Eva Bayer-Fluckiger. May Talks Research talks Invited speaker, CMS Winter meeting, Special Session on algebraic number theory. Montreal, Canada, December Invited Speaker, 29th Journées Arithmétiques, Debrecen, Hungary, July Invited Speaker, Sextas Jornadas en Teoría de números, Valladolid, Spain, July Invited speaker, AMS Special Session on quadratic forms in Arithmetic and Geometry. UAH, Huntsville, AL, March Invited Speaker, ICM 2014 satellite conference on integral quadratic forms and related topics. Gyeongju, South Korea, August Speaker at Séminaire d Algèbre et de Théorie des Nombres, EPFL, Switzerland, July Invited Speaker, Séminaire de Théorie des Nombres, Institute de Mathématiques de Bordeaux, France, April Invited Speaker, joint PIMS/SFU/UBC Number theory seminar, BC, Canada, January Speaker, joint meetings of the AMS, Baltimore, MD, USA, January Invited Speaker, Atelier pro-p-groupes et arithmétique, Laboratoire de mathématiques de Besançon, France, December Invited Speaker, Algebra, geometry and number theory seminar, Universiteit Leiden, Netherlands, November Invited Speaker, Colloquium, Université de Neuchâtel, Switzerland, October Invited Speaker, Emory Algebra and Number Theory Seminar, Atlanta, GA, September Invited Speaker, Québec-Vermont number theory seminar, Montreal, Canada, September Invited Speaker, Algebra seminar University of Western Ontario. London, Canada, September Invited Speaker, Number theory seminar, University of Wisconsin, Madison, September Invited Speaker, Number theory seminar, University of South Carolina, Columbia, August Invited Speaker, Quintas Jornadas en Teoría de números, Seville, Spain, July Invited Speaker, 28th Journées Arithmétiques, Grenoble, France, July Invited Speaker, Seminario di Geometria Algebrica, Universitá Europea di Roma, Italy, June Invited Speaker, Séminaire de Théorie des Nombres Université Blaise Pascal, Clermont-Ferrand, France, May Invited Speaker, Universidad Sergio Arboleda, Bogotá, Colombia, February Invited Speaker, Seminario de Álgebra Universidad de Los Andes, Bogotá, Colombia, February Invited Speaker, Séminaire d Algèbre et de Théorie des Nombres, Laboratoire de mathématiques de Besançon, France, February Invited Speaker, Algebra and combinatorics seminar, Aalto University, Helsinki, Finland, December Speaker at Séminaire d Algèbre et de Théorie des Nombres, EPFL, Switzerland, October 2012.

4 Invited speaker, 25th Automorphic forms workshop. Oregon state University, Corvallis, OR, March 2011 Speaker at the joint PIMS/SFU/UBC Number theory seminar. Vancouver, Canada, February, Invited speaker, CMS Special Session on p-adic groups, Automorphic forms and Geometry. Vancouver, Canada, December Speaker at the joint PIMS/SFU/UBC Number theory seminar. Vancouver, Canada, November Invited speaker, Joint meeting special session Arithmetic Geometry. San Francisco, CA, January Invited speaker, AMS Special Session on Arithmetic and profinite groups. Penn State, State College, PA, October Invited speaker, Algebra seminar University of Western Ontario. London, Canada, March Invited speaker, Conference on Quadratic Forms, Sums of Squares, Theta Functions and Integral Lattices. University of Florida, Gainesville, FL, March Invited speaker, AMS Special Session on Number Theory and Applications in Other Fields. LSU, Baton Rouge, LA, March Mini-courses Una introducción a las representaciones de Galois y a la teoría de Iwasawa. Universidad de los Andes, Bogotá, Colombia, El último teorema de Fermat. Main speaker for a two week workshop on FLT. Universidad de Antioquia, Medellín, Colombia, Quadratic forms in number theory. CUSO Doctoral School, Les Diablerets, Switzerland, March El principio de Hasse, Taller en teoría de números. Universidad de los Andes, Bogotá, Colombia, October Expository talks Formas cuadráticas racionales y el principio global vs local. Conferencista invitado a la tercera escuela de Matemáticas, Universidad los Libertadores, Bogotá, Colombia, May Cohomological invariants Inv K (c 2, c 2 ). Algebraic group seminar, UBC, Vancouver, Canada, March Hochschild-Serre, and Grothendieck spectral sequences. Algebraic group seminar, UBC, Vancouver, Canada, April Jet spaces and the motivic measure. Motivic integration seminar, UBC, Vancouver, Canada, January étale group schemes. Postdoc seminars, UBC, Vancouver, Canada, October Quadratic reciprocity in finite groups. Group theory seminar, UW Madison. Madison, WI, September Galois Coverings, Encuentro en geometría y topología de acciones de grupos. Universidad de los Andes, Bogotá, Colombia, May Galois representations. Number theory seminar UW Madison. Madison, WI March Arithmetically equivalent number fields. Number theory seminar, UW Madison. Madison, WI, November Automorphisms of Arithmetic Riemann Surfaces. A bound for the number of automorphisms of an arithmetic Riemann surfaces. Arizona Winter School, University of Arizona, Tucson, AZ, March Rudiments of Iwasawa theory: the completed group algebra of Z p and class groups of number fields. Group theory seminar, UW Madison Madison, WI, October Students presentation, Ralph Greenberg s project. Summer School in Iwasawa Theory, Fields Institute. Hamilton, ON, August Group Schemes. Reading seminar on Fermat s last theorem at UW Madison. Madison, WI, November Local Fields and Elliptic Curves over Local Fields. Number theory seminar, UW Madison. Madison, WI, October 2006.

5 Sistemas de raices en algebras de Lie.Universidad de los Andes, Bogotá, Colombia, March El índice como Morfismo de Monoides definido sobre los Operadores de Fredholm. Universidad de los Andes, Bogotá, Colombia, November Compact and Fredholm Operators and Notion of Index. Geometric and Topological Methods for Quantum Field Theory, Villa de Leyva, Colombia, July Dominios de Ideales Principales no Euclidianos y Extensiones Quadraticas de los Racionales. Universidad de los Andes, Bogotá, Colombia, June El problema de integracion de funciones elementales en Terminos finitos. Universidad de los Andes, Bogotá, Colombia, November Extensions of Operators by Ultrapowers Segunda escuela Matematica de America Latina y el Caribe. Merida, Venezuela, September Academic service and Memberships Member of the American Mathematical Society Member of the Sociedad Colombiana de Matemáticas Organizer of the Mathematics Colloquium, Universidad de los Andes. January 2015 Library coordinator of the Mathematics department, Universidad de los Andes. January 2015 Co-organizer of Swiss Doctoral Program in Mathematics March, Kervaire Seminar, Quadratic forms and Applications. Les Diablerets, Switzerland, March Organizer 26th Automorphic forms workshop. University of British Columbia, Vancouver, BC, April Referee/Review work: Proceedings of the American Mathematical Society, Algebra & Number Theory, International Journal of Number Theory, Mathematical Reviews. Grader for Graduate classes in Elliptic Curves and modular forms (under the supervision of Jordan Ellenberg), Algebraic Number Theory (under the supervision of Amanda Folsom) and analytical number theory (under the supervision of Riad Masri). Organizer, Midwest Number Theory conference for Graduate students V. University of Wisconsin, Madison, WI, November Member of the Committee of the Colombian olympiad of university Mathematics.(In charge of designing and grade classificatory and final rounds of competitions.) Colombian Mathematical Olympiad, Bogotá, Colombia, January 2004-July Distinctions My grant proposals for the organization of the 26th AFW, held in Vancouver in 2012, were accepted with a total of $5000US from the Number theory foundation and $8000CA from the Pacific Institute for the Mathematical sciences. Invited speaker by the Centre for Teaching, Learning and Technology (CTLT) at UBC to talk to new faculty hires about my experiences as a successful teacher at UBC. September Math Department excellence in teaching award at UW Madison. October Awarded Vilas Travel Grant to participate in the 2010 Joint meetings of the AMS. December Conferences and Workshops attended

6 29th Journées Arithmétiques, Debrecen, Hungary, July Sextas Jornadas en Teoría de números, Valladolid, Spain, July Counting arithmetic objects(ranks of elliptic curves), Montreal, Canada, November Quintas Jornadas en Teoría de números, Seville, Spain, July th Journées Arithmétiques, Grenoble, France, July Seminario di Geometria Algebrica, Universitá Europea di Roma, Italy, June Arithmetic of abelian varieties in families, Lausanne, CH, November Contemporary methods for solving Diophantine equations, Banff, Alberta, CA, June th Automorphic forms workshop. University of British Columbia, Vancouver, BC, April Diophantine methods, lattices, and arithmetic theory of quadratic forms, Banff, Alberta, CA, November Instructional workshop on the noncommutative main conjectures, Münster, Germany, April th Automorphic forms workshop. Oregon state University, Corvallis, OR, March Winter meeting of the Canadian mathematical society. Vancouver, BC, December Midwest Number Theory Days. University of Wisconsin Madison, Madison, WI, November Midwest Number Theory Conference for Graduate Students VI. University of Wisconsin Madison, Madison, WI, November Conference on Higher degree forms. University of Florida, Gainesville, FL, May Encuentro en geometría y topología de acciones de grupos. Universidad de los Andes, Bogotá, Colombia, May Conference on Quadratic Forms, Sums of Squares, Theta Functions and Integral Lattices. University of Florida, Gainesville, FL, March Arizona Winter School, Quadratic forms. Project with Manjul Bhargava. University of Arizona, Tucson, AZ, March Taller en teoría de números. Universidad de los Andes, Bogotá, Colombia, October Arizona Winter School, Special functions and Transcendence. Project with Paula Tretkoff. University of Arizona, Tucson, AZ, March Midwest Number Theory Days. University of Illinois at Chicago, Chicago, IL March Midwest Number Theory Conference for Graduate Students V University of Wisconsin Madison. Madison, WI, November Summer School in Iwasawa Theory, Fields Institute. Hamilton, ON, August Summer School Homogeneous Flows, Moduli Spaces and Arithmetic. Clay Mathematics Institute, Centro De ricerca Matematica Ennio De Giorgi,Pisa,Italy, June What is Algebraic Geometry? Institute for Mathematics and Its Applications University of Minnesota, Minneapolis MN, April Arizona Winter School, p-adic Geometry. University of Arizona, Tucson, AZ, March Midwest Number Theory Conference for Graduate Students IV University of Illinois, Urbana, Champaign, October Tercera Escuela Matematica de América Latina y el Caribe. Morelia, Mexico, September Geometrical and Topological Methods for Quantum Field Theory I. CIMPA Summer School, Villa de Leyva, Colombia, July Segunda Escuela Matemática de América Latina y el Caribe. Merida, Venezuela, September XIII Encuentro de Geometría y sus Aplicaciones. Universidad pedagógica, Bogotá, Colombia, June 2002.

7 I Encuentro de Aritmética. Universidad pedagógica, Bogotá, Colombia, June Coloquio de Matemática de la Sociedad Peruana de Matemáticas IMCA. Lima, Peru, Summer Geometrical and Topological Methods for Quantum Field Theory II. CIMPA Summer School, Villa de Leyva, Colombia, July 1999.