Dan Li Curriculum Vitae Contact Information Department of Mathematics, Purdue University 150 N. University Street, West Lafayette, IN, USA 47907-2067 Email: li1863@math.purdue.edu Phone: +1 (765) 494-1948 Homepage: http://math.purdue.edu/ li1863/ Present Position Golomb Visiting Assistant Professor of Mathematics at Purdue University Research Interests Noncommutative geometry, Mathematical physics, Algebraic geometry Noncommutative geometry Index theory and K-theory Geometry and Topology Topological Insulators Chern Simons theory Periods and Motives Employment History July 2013 - June 2014 Postdoctoral researcher Max-Planck-Institut für Mathematik (MPIM), Bonn, Deutschland January - April 2013 Postdoctoral researcher Institut des Hautes Études Scientifiques (IHES), Bures-sur-Yvette, France
Dan Li 2 Education Ph.D., Pure Mathematics, Florida State University (FSU), Fall 2012 Dissertation: Periods and Motives: Applications in Mathematical Physics Advisors: Matilde Marcolli and Paolo Aluffi M.A., Pure Mathematics, Fudan University, Shanghai Spring 2007 B.S., Applied Mathematics, Donghua University, Shanghai Summer 2003 Visiting Positions May - August 2016: Visitor at Shanghai Center for Mathematical Sciences Fudan university, Shanghai May - June 2013: Visitor at Shanghai Center for Mathematical Sciences Fudan university, Shanghai May - August 2008: Trimester Program on Geometry and Physics Hausdorff Research Institute for Mathematics, Bonn Publications Preprints Noncommutative topological Z 2 invariant The Stiefel Whitney theory of topological insulators Submitted Topological insulators and K-theory Noncommutative Chern-Simons theory on the quantum sphere S 3 θ Published Renormalization group flow, entropy and eigenvalues Lett. Math. Phys. DOI: 10.1007/s11005-017-0987-2
Dan Li 3 Notes on topological insulators Rev. Math. Phys. 28(10), 1630003, 2016 The Ponzano-Regge model and parametric representation Commun. Math. Phys. 327(1), 243-260, 2014 Harper operator, Fermi curves, and Picard-Fuchs equation Lett. in Math. Phys. 104(5), 613-624, 2014 The algebraic geometry of Harper operators J. Phys. A: Math. Theor. 44, 405204, 2011 On coarse homotopy J. Fudan Univ. Nat. Sci. 46(2), 2007 Invited Talks Analysis-Geometry Seminar Northeastern University, September 2017 Special session on Topological Mathematical Physics AMS Spring Central Sectional Meeting Indiana University, Bloomington, April 2017 GAP seminar Penn State University, January 2017 Special session on Topology and Physics AMS Fall Central Sectional Meeting University of St. Thomas, Minneapolis, October 2016 Special week on Operator Algebras Research Center for Operator Algebras East China Normal University, Shanghai, June 2016 Geometry and Topology seminar University of Maryland, May 2015 Quantum Groups and Operator Algebras Mathematischen Instituts, Münster University, May 2014 Special week on Operator Algebras Research Center for Operator Algebras East China Normal University, Shanghai, June 2013 China-Japan conference on Noncommutative Geometry and K-Theory Center for Noncommutative Geometry and Operator Algebra Jilin University, Changchun, June 2013
Dan Li 4 Joint Mathematics Meetings AMS Special Session on Fractal Geometry, Boston, January 2012 Workshops and Summer Schools Noncommutative Geometry and KK-theory for the N-body Problem Münster University, August 2016 Operator Algebras and Mathematical Physics 9th MSJ-SJ, Tohoku University, Sendai, August 2016 Great Plains Operator Theory Symposium Purdue University, May 2015 Symmetry and Topology in Quantum Matter Institute for Pure and Applied Mathematics, UCLA, January 2015 Noncommutative Geometry and its Applications Hausdorff Research Institute for Mathematics, Bonn, December 2014 Periods and Motives: Feynman amplitudes in the 21st century Instituto de Ciencias Matemáticas, Madrid, July 2014 Topology of high-dimensional manifolds Hausdorff Research Institute for Mathematics, Bonn, August 2013 Index Theory and Hopf Algebras, 9th Spring Institute on NCG and Operator Algebras, Nashville, May 2011 Von Neumann Algebras, 8th Spring Institute on NCG and Operator Algebras, Nashville, May 2010 Seminar Talks Index theory and NCG of topological insulators, Fudan, 2016 Noncommutative topological Z 2 invariant, Purdue, 2015 Topological insulators and K-theory, Purdue, 2015 Pure motives and motivic L-function, MPIM, 2014 Topological K-theory and Bott periodicity, MPIM, 2014 Algebraic geometry of the Harper operator, MPIM, 2014 Quantum Hall effect and the Chern numbers, Fudan, 2013 Noncommutative Chern-Simons theory, IHES, 2013
Dan Li 5 Jones-Witten theory, FSU, 2011 Noncommutative torus, FSU, 2010 Integer quantum Hall effect via NCG, FSU, 2008 Chern classes, FSU, 2008 Professional Service Journals refereed Annals of K-Theory Annales Henri Poincaré Reviews in Mathematical Physics New York Journal of Mathematics Letters in Mathematical Physics Review activities Reviewer for Mathematical Reviews since 2017 Grants and Awards Postdoc Travel Grant Awards, Graduate School office, Purdue, 2016 Conference Presentation Grant, Congress of Graduate Students, FSU, 2012 Teaching Experience Teaching at FSU Precalculus Calculus II Matrix Lab (Scilab) Ordinary Differential Equations Teaching at Purdue Linear Algebra (Matlab) Calculus and Analytic Geometry II
Dan Li 6 Linear Algebra and Differential Equations ODE and PDE for Engineering and the Sciences Advanced Mathematics for Engineers and Physicists I Last updated: September 17, 2017