BERNARDO URIBE JONGBLOED Mathematics Department, Universidad de los Andes Carrera 1 N.18 A -10, Bogotá, Colombia Tel +57 1 3324340, Email: [email protected]

P E R S O N A L I N F O R M A T I O N Birthdate: June 14th 1975 Marital Status: Married Citizenship: Colombian Children: 2 daughters

W O R K E X P E R I E N C E Mathematics Department, Universidad de los Andes Bogotá, Colombia Professor January 2012-

Mathematics Department, Universidad de los Andes Bogotá, Colombia Associate Professor July 2010 – December 2011

Mathematics Department, Universität Münster Münster, Germany Wissenschaftliche Mitarbeiter January 2010 – June 2010

Mathematics Department, Universidad de los Andes Bogotá, Colombia Associate Professor July 2009 – December 2009

Mathematics Department, Centro de Investigaciones y Estudios Avanzados del IPN City, Mexico Researcher level 3A July 2008 – June 2009

Mathematics Department, Universidad de los Andes Bogotá, Colombia Associate Professor June 2006 – June 2008 Mathematics Postgraduate Studies Coordinator June 2006 – January 2007 Assistant Professor January 2005 – June 2006

Mathematics Department, Universidad Nacional Bogotá, Colombia Assistant Professor July 2005 – December 2006

Mathematics Department, Ann Arbor, USA Assistant Professor August 2003 – December 2004

Max Planck Institut Fuer Mathematik Bonn, Germany Guest Researcher July 2002 – July 2003

Mathematics Department, University of Wisconsin Madison, USA NSF Research Assistant 2000 – 2002 Teaching Assistant 1998 – 2000

E D U C A T I O N University of Wisconsin, Madison, USA Ph.D. Mathematics 2000 – 2002 Thesis Title: Twisted K-theory and Orbifold Cohomology of the Symmetric Product, Advisor:

University of Wisconsin, Madison, USA M.Sc. Mathematics 1998 – 2000

Universidad de los Andes, Bogota, Colombia B.S. Mathematics 1994 – 1998

T E A C H I N G E X P E R I E N C E At the Universidad de los Andes Calculus and Vector Calculus (several times), Topology, Geometry of Differential Forms, Algebraic Topology, Group theory, Characteristic classes

At the Universidad Nacional Differential Topology

At the University of Michigan Calculus and Vector Calculus (several times)

V I S I T S Mathematics Institute, University of Bonn, Bonn, Germany (as Von Humboldt Fellow) July 2012-Present Mathematics Institute, University of Münster, Münster, Germany January 2010-May 2010 Max Planck Institut Fuer Mathematik, Bonn, Germany August-October 2008 Erwin Schroedinger Institut, Vienna, Austria September 2007 Max Planck Institut Fuer Mathematik, Bonn, Germany May – June 2006 Mathematical Science Research Institute, Berkeley, USA March 2006 Max Planck Institut Fuer Mathematik, Bonn, Germany May – June 2004

M E M B E R S H I P S A N D O T H E R S International Center for Theoretical Physics ICTP Junior Associate 2005-2011 Scientific Committee of the EMALCA (Latin-American Schools of Mathematics), part of UMALCA Member since 2005

C O N F E R E N C E S O R G A N I Z E D Organizer of the “Workshop on Recent Developments on Orbifolds”, Chern Institute, China July 25-29 2011 Co organizer of the “String Topology Conference”, Morelia, Mexico January 2006 Main organizer of “EMALCA Colombia - First Colombian School of Mathematics” October 2006

G R A N T S • Quantum cohomology of manifolds with symmetries. A study of the symmetric product. Project financed by COLCIENCIAS-Colombia from 2008 until 2009. Total amount of money financed by COLCIENCIAS: COP$44’363.200 (USD$25.000). Proyect number PRE00405000138 • Topological quantum field theories and orbifolds (together with Ernesto Lupercio). Project financed by COLCIENCIAS-Colombia and CINVESTAV-México from 2008 until 2009. Total amount of money financed by COLCIENCIAS: USD$8.000, total amount of money financed by CONACYT: USD$16.000. Contract number 376- 2007

A W A R D S • Third World Academy of Sciences (TWAS) Prize for young colombian researchers in the area of mathematics, granted by the Colombian Academy of Sciences, Auguts 2012. • Von Humboldt fellowship for Experienced Researchers (2012-2013) awarded to carry out research at the University of Bonn, Germany • Rackham Fellowship (2004) awarded by the Rackham School of Graduate Studies, University of Michigan, Ann Arbor, Michigan, USA • Excellence Research in Mathematics (2001) awarded by the Mathematics Department, University of Wisconsin, Madison, USA • Otto de Greif (1998) Price awarded for undergraduate thesis in Mathematics in Colombia • Beca Mazda para el Arte y las Ciencias (1997) Scholarship awarded to pursue a master’s thesis • Beca 40 años (1994-1997) Scholarship awarded from the Universidad de los Andes to pursue an undergraduate degree

R E S E A R C H P A P E R S

• Group actions on dg-manifolds and Exact Courant algebroids, http://arxiv.org/abs/1010.5413, Accepted for publication in Comm. Math. Phys. • Hochschild cohomology and string topology of global quotient orbifolds (j.w. A, Ángel y E. Backelin), Journal of Topology 5 (2012), pp. 593-638. • Chern-Weil homomorphism in twisted equivariant cohomology (j.w. A. Caviedes and S. Hu) Differential Geometry and its Applications 28 (2010), pp. 65-80 • Stringy product on twisted orbifold K-theory for abelian quotients. (j.w E. Becerra) Trans. Amer. Math. Soc. 361 (2009) 5781-5803. • Extended Manifolds and Extended Equivariant Cohomology (j.w. S. Hu), Journal of Geometry and Physics, Volume 59, Issue 1, January 2009, Pages 104-131 • Orbifold String Topology (j.w E. Lupercio and M. Xicotencatl), Geometry and Topology 12 (2008) No. 4, 2203-- 2248 • Orbifold Virtual Cohomology of the Symmetric Product (j.w. David Riveros), Bulletin of the Mexican Mathematical Society. 3a. Serie Volumen 14 Número 1, 2008 • Chen-Ruan Cohomology of Cotangent Orbifolds and Chas-Sullivan String Topology (j. w. Ana Gonzalez, Ernesto Lupercio, Carlos Segovia and Miguel A. Xicotencatl) Math. Res. Lett. 14 (2007), No. 3, 491-501 • The Loop Orbifold of the Symmetric Product (j. w. E. Lupercio and M. Xicotencatl), J. Pure Appl. Algebra 211 (2007), No. 2, 293-306 • Stringy Chern Classes of Singular Varieties (j.w. T. de Fernex, T Nevins and E. Lupercio), Adv. in Math. 208 (2007), No. 1, 597-621 • An Introduction to Gerbes on Orbifolds (j.w. E. Lupercio), Annales Mathematiques Blaise Pascal 11 (2004) No. 2, 155-180 • Holonomy for Gerbes over Orbifolds (j.w. E. Lupercio), Jour. Geom. and Phys. 56 (2006), No. 9, 1534-1560 • Inertia Orbifolds, Conguration Spaces and the Ghost Loop Space (j.w. E. Lupercio), Q. J. Math. 55 (2004), No. 2, 185-201 • Gerbes over Orbifolds and K-Theory (j.w. E. Lupercio), Comm. Math. Phys. 245 (2004), No. 3, 449-489 • Orbifold Cohomology of the Symmetric Product, Comm. Anal. and Geom. 13 (2005) No.1, 113-128 • Topological Quantum Field Theories, Strings, and Orbifolds (j.w. E. Lupercio) Geometric and Topological Methods for Quantum Field Theory, Contemporary Mathematics 434, 73-98, American Mathematical Society 2007 • A Localization Principle for Orbifold Theories (j.w. T. de Fernex, T Nevins and E. Lupercio), Recent Developments in Algebraic Topology, Contemporary Mathematics 407, 113-133, American Mathematical Society 2006 • Differential Characters on Orbifolds and String Connections I (j.w. E. Lupercio), Gromov-Witten Theory of Spin Curves and Orbifolds, Contemporary Mathematics 403, 127-142, American Mathematical Society 2006 • Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds (j.w. E. Lupercio), Orbifolds in Mathematics and Physics, Contemporary Mathematics 310, 163-184, American Mathematical Society 2002 • Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields (j.w. E. Lupercio), Geometric and topological methods for quantum field theory (Villa de Leyva, 2001), 468-482, World Sci. Publishing, River Edge, NJ, 2003.

P R E P R I N T S

• T-duality and exceptional generalized geometry through symmetries of dg-manifolds,(j.w. E. Lupercio and C. Rengifo) http://arxiv.org/abs/1208.6048 • Universal twist in Equivariant K-theory for proper and discrete actions,(j.w. N. Bárcenas, J. Espinoza and M. Joachim) http://arxiv.org/abs/1202.1880

E D I T O R I A L W O R K

• Editor of the “Revista Colombiana de Matemáticas” (Colombian Journal of Mathematics) since July 2009 • Member of the Editorial Committee of the “Revista Integración”, since 2012. http://matematicas.uis.edu.co/integracion/ • Editor of “Geometric and Topological Methods for Quantum Field Theory” Proceedings of the summer school, Villa de Leyva, Colombia, July 11-29, 2005. (together with S. Paycha), Contemporary Mathematics 434. Providence, RI: American Mathematical Society (AMS). xi, 255 p. (2007). ISBN 978-0-8218-4062-7

S T U D E N T S G R A D U A T E D

• Jorge Palacio (Master 2006, U. de los Andes) “Levantamiento de Estructuras Complejas Generalizadas” • Hermes Martinez (Master 2006, U. de los Andes) “La Correspondencia de Riemann Hilbert” • David Riveros (Master 2007, U. de los Andes) “Topología de Lazos de Orbidades para el Producto Simetrico de Esferas” • Gina Angueyra (B.Sc. 2007, U. de los Andes) “Representaciones de Grupos Finitos; el Grupo Simetrico” • Juanita Pinzón (B.Sc. 2007, U. de los Andes) “Morse Homology” • Mario Velasquez (Master 2008, U. de los Andes) “Equivariant K-theory of the symmetric product” • Cristian Martinez (Master 2008, U. de los Andes) “Chen-Ruan cohomology of symmetric products and cohomology of Hilbert schemes of points on surfaces” • Edward Becerra (Master 2008, U. de los Andes) “Stringy K-theory for abelian global quotients” • Alexander Caviedes (Master 2008, U. Nacional de Colombia) “Construcción de estructuras complejas generalizadas en dimensión cuatro” • Ana María Botero (B. Sc. 2011, U. de los Andes) “Methods in combinatorics for computing Euler characteristics in projective toric varieties” • Edward Becerra (PhD 2012, U. Nacional de Colombia) “Stringy orbifold product in K-theory” • Mario Andrés Velásquez (Ph.D. 2012, U. de los Andes) “Equivariant connective K-homology and configuration spaces”

I N V I T E D L E C T U R E S • T-duality and exceptional generalized geometry through symmetries of dg-manifolds, November 26 2012, Topology Seminar, Radboud University, Nijmegen, Holland. • T-duality and exceptional generalized geometry through symmetries of dg-manifolds, November 6 2012, Geometry Seminar, Mathematisches Institut, Heidelberg, Germany. • Universal twist in equivariant K-theory for proper and discrete actions, October 30 2012, Oberseminar Topologia, Mathematisches Institut, Bonn, Germany. • T-duality and exceptional generalized geometry through symmetries of dg-manifolds, October 24 2012, Seminar on “Higher Differential Geometry”, Max Planck Institute for Mathematics, Bonn, Germany. • Twisted Equivariant K-theory for proper and discrete actions, November 4 2011, “50 years of Geometry and Topology at the CINVESTAV”, CINVESTAV, , Mexico. • Symmetries of principal R[n]-bundles, August 8 2011, 1st Latinamerican School of and its Applications, La Cumbre, Argentina. • Orbifold string topology and Hochschild cohomology, July 31 2011, International conference on Geometry and Physics, Henan Normal University, Xinxiang, China. • Twisted equivariant K-theory and Segal’s spectral sequence, July 28 2011, Workshop on Recent Developments on Orbifolds, Chern Institute, Tianjin, China. • Orbifold string topology and Hochschild cohmology, May 25 2011, Higher Structures in Topology and Geometry V, University of Hamburg, Germany. • Twisted equivariant K-theory for proper actions, May 22 2011, Oberseminar Topologie, University of Münster, Germany. • Infinitesimal symmetries of fibred bundles, December 4 2010, II regional meeting of mathematics, Universidad de Antioquia, Medellín, Colombia. • Symmetries of fibred bundles, November 5 2010, XLIII Congress of the Mexican Mathematical Society, Tuxtla, México. • Symmetries of Exact Courant Algebroids, July 29 2010, Poisson 2010 - Poisson Geometry in Mathematics and Physics, IMPA, Rio de Janeiro, Brasil. • Symmetries of Exacy Courant Algebroids, July 16 2010, III Latinamerican congress on Lie groups in Geometry, Universidad de los Andes, Bogotá, Colombia • Orbifold String Topology, June 22 2010, Colloquium, Mathematics Department, University of Hamburg, Germany • Orbifold String Topology, May 7 2010, Nord-Rhein-Westfalen Topology Meeting, Osnabrück, Germany. • Symmetries of exact Courant algebroids, March 19, Geometry seminar, SISSA, Trieste, Italy. • Orbifold String Topology, March 2 2010, Geometry and Physics seminar, Mathematics Department, ETH, Zürich, Switzerland. • Orbifold String Topology, December 16 2009, Colloquium, Mathematics Department, University of Münster, Germany • Orbifold String Topology, December 10 2009, Colloquium, Mathematics Department, University of Regensburg, Germany • Orbifold String Topology, September 4 2009, Semi plenary lecture, III Latin-American Congress of Mathematics, Santiago de Chile, Chile • Orbifold String Topology, May 26 2009, Colloquium, Universidad Nacional Autónoma de México, Mexico City, Mexico • Orbifold String Topology Revisited, December 18 2008, Colloquium, Regensburg University, Regensburg, Germany • Mini course in String Topology, December 10,11 y 12 de 2008, University of Utrecht, Holland • Extended equivariant cohomology, December 9 de 2008, Geometry Seminar, University of Utrecht, Holland • Orbifold String Topology, November 20 de 2008, Geometry seminar, Indian Statistical Institute, Kolkata, India • Orbifolds String Topology revisited, September 26 2008, Geometry and Quantum Theory Colloquium, University of Utrecht, Holland • Orbifolds and String Topology, March 27th 2008, Young people´s workshop on Topology, , USA. • Stringy products on twisted orbifold K-theory, January 14th 2008, algebra seminar, IMPA, Rio de Janeiro, Brasil. • Chen-Ruan Cohomology of the Cotangent Orbifold and Orbifold String Topology, October 4th 2007, Topology Seminar, University of Michigan, Ann Arbor, USA • Group Actions on Generalized Complex Manifolds and their Equivariant Cohomology, October 4th 2007, Brown Bag HEP Seminar, Physics department, University of Michigan, Ann Arbor, USA • Extended Manifolds and Extended Equivariant Cohomology, September 3rd 2007, Poisson Sigma Models, Lie Algebroids, Deformations, and Higher Analogues Conference, Erwin Schroedinger Institut, Vienna, Austria • Simetrias de Algebroides de Courant y Cohomologia Equivariante torcida, Tercer Encuentro de Geometría Diferencial, August 10th 2007, La Falda, Argentina • Topología de Cuerdas sobre Orbidades, Congreso Colombiano de Matematicas, July 18th 2007, Medellín, Colombia • Orbifold String Topology and Virtual Cohomology, May 2nd 2007, Algebraic Topology Seminar, PIMS, Vancouver, • Orbifold String Topology, November 9th 2006, Geometry seminar, IMPA, Rio de Janeiro, Brazil • Orbifold String Topology for the Symmetric Product, June 1st 2006, Orbifold day, University of Utrecht, Holland • Extended Equivariant Cohomology, May 20th 2006, Conference in Stacks, Gerbes and TQFT's, Erwin Schroedinger Institut, Vienna, Austria • Orbifold String Topology, May 10th 2006, Oberseminar Topologie, University of Bonn, Germany • Euler Characteristic for Orbifolds, April 26th 2006, Colloquium, Universidad Nacional de Colombia, Medellín, Colombia • Introduction to Orbifolds, March 29th 2006, in the program “New topological structures in physics”, MSRI, Berkeley, USA • Stringy Euler Class for Orbifolds, March 12th 2006, Colloquium, San Francisco State University, San Francisco, USA • Extended Generalized Complex Manifolds, February 3rd 2006, Conference in Memory of José Escobar, Cali, Colombia • Extended Generalized Complex Manifolds, January 20th 2006, String Topology Conference, Morelia, Mexico • Orbifold String Topology, December 13th 2005, Algebra Seminar, Universidad Central, Caracas, Venezuela • La Ecuaciones de Maxwell , October 6th 2005, Primer Encuentro de Ciencias Naturales, Ambientales y Matematicas, Universidad Distrital, Bogota, Colombia • Generalized Kahler Manifolds, July 27th 2005, Geometric and Topological Methods for Quantum Field Theory, Villa de Leyva, Colombia • Variedades Complejas Generalizadas, Coloquio, February 18th 2005, Universidad Nacional, Bogotá, Colombia • Sobre la Conjetura de Representabilidad de Orbidades, Seminario de Geometria, Fisica y Topologia, December 15th 2004, CINVESTAV, Mexico City, Mexico • Stringy Chern Classes for Orbifolds, Geometry/Topology Seminar, October 29th 2004, University of Wisconsin, Madison, USA • Stringy Chern Classes for Orbifolds, Geometry/Topology Seminar, October 17th 2004, University of Waterloo, Waterloo, Canada • Stringy Chern Classes for Orbifolds, Geometry/Topology Seminar, October 4th 2004, Michigan State University, Lansing, USA • Orbifold String Topology, Topology Seminar, September 28th 2004, University of Illinois, Urbana-Champaign, USA • Correspondencia de McKay e Integración Motivica, Congreso 40 Años Departmento de Matematicas, August 25th 2004, Universidad de los Andes, Bogotá, Colombia • Differential Characters on Orbifolds and String Connections, II Latinamerican Congress of Mathematics, June 22nd 2004, Cancun, Mexico • Differential Characters on Orbifolds and String Connections, Oberseminar Topologie, May 25th 2004, University of Bonn, Bonn, Germany • Orbifold String Topology, Topology Seminar, April 23rd 2004, University of Pennsylvania, Philadelphia, USA • Cohomologia vista como una (0,1) Teoria Topologica de Campos a partir de Teoría de Morse, Topology Seminar, March 3rd 2004, Universidad de los Andes, Bogotá, Colombia • Cohomologia vista como una (0,1) Teoria Topologica de Campos a partir de Teoría de Morse, Topology Seminar, March 1st 2004, Universidad Nacional, Bogotá, Colombia. • Morse Field Theory, Topology Seminar, February 13th 2004, University of Michigan, Ann Arbor, USA. • Orbifold K-theory, Orbifold Cohomology and their Twistings, Topology Seminar, October 1st 2003, Wayne State University, Detroit, USA • Gerbes with Connection and Maxwell Equations, School on Geometric and Topological Methods for Quantum Field Theory, July 8-25th 2003, Villa de Leyva, Colombia • Stringy orbifolds, Oberseminar, May 22nd 2003, Max Planck Institut fuer Mathematik, Bonn, Germany • Inertia Orbifolds, Configuration Spaces and the Ghost Loop Space, Topology Seminar, May 15th 2003, University of Munster, Germany. • Gerbes over Orbifolds and Twisted K-theory, Topology/Geometry Seminar, May 7th 2003, UC Davis, USA. • Gerbes over Orbifolds and their TQFTs, AMS Meeting, Session on: Gromov-Witten Theory of Spin Curves and Orbifolds, May 2-3rd 2003, San Francisco USA. • Gerbes over Orbifolds and Twisted K-theory, Gauge Theory Seminar, January 31st 2003, Max Planck Institut fuer Mathematik, Bonn, Germany • Inertia Orbifolds, Configuration Spaces and the Ghost Loop Space, Oberseminar Topologie, January 28th 2003, Universiy of Bonn, Bonn, Germany. • Topological Structures in , as invited lecturer for the Colloquium at the Universidad de los Andes, January 23rd 2003, Bogota, Colombia. • Loops on Orbifolds, Oberseminar Topologie, December 2nd 2002, Max Planck Institut, Bonn, Germany • Ghost Loop Space of Orbifolds, Topology and Geometry Seminar, November 8th 2002, University of Wisconsin, Madison, USA. • Loops on Orbifolds, on the Program “Noncommutative Geometry and Quantum Field theory”, “Feynman Diagrams in Mathematics and Physics", Erwin Schroedinger Institut, October 25th 2002, Vienna, Austria • Loops on Orbifolds, Geometry and Topology Seminar, October 22nd 2002, University of Utrecht, The Netherlands • String Geometry and Topology of Orbifolds, ICM Satellite Conference on Stringy Orbifolds, August 14-18th 2002, Chengdu, China • Gerbes over Orbifolds, Twisted K-theory and Groupoids, Workshop "Topology of Manifolds" , June 5th 2002, University of Muenster, Muenster, Germany • Loop Groupoid and Gerbes with Connection over Orbifolds, Topology seminar, February 5th 2002, University of Chicago, USA • Orbifolds and Groupoids, as invited lecturer for the Colloquium at the Universidad de los Andes, August 8th 2001, Bogotá, Colombia • Gerbes over Groupoids, at the CIMPA School of Geometric and Topological Methods for Quantum Field Theory, July 9-27th 2001, Villa de Leyva, Colombia. • Orbifold Cohomology of the Symmetric Product, at the Orbifold String Theory Workshop, May 4-8th 2001, Madison, USA.

R E F E R E N C E S

• Prof. Dr. Alejandro Adem, University of British Columbia, Canada; [email protected] tel: +1 (604) 822-3922 • Prof. Dr. Henrique Bursztyn, IMPA, Brazil; [email protected] tel: +55-21-25295220 • Prof. Dr. Ralph Cohen, Stanford University, USA; [email protected] tel: +1 (650)-723-1862 • Prof. Dr. Michael Joachim, University of Münster, Germany; [email protected] tel: +49-251-83- 32735 • Prof. Dr. Ernesto Lupercio, CINVESTAV, Mexico; [email protected] tel: +52 (55) 50 61 38 68 • Prof. Dr. Wolfgang Lück, University of Bonn, Germany; [email protected] tel: +49 228 73 62240 • Prof. Dr. Ieke Moerdijk, University of Utrecht, Holland; [email protected] tel: + 31 30 253 1459 • Prof. Dr. , University of Michigan, USA; [email protected] tel: +1 (734) 764-9409