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IVAN AVRAMIDI
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IVAN AVRAMIDI
  • Home
  • What's New
  • AI & Math
  • Research
  • Books
  • Publications
  • Presentations
  • Teaching
  • More
    • Home
    • What's New
    • AI & Math
    • Research
    • Books
    • Publications
    • Presentations
    • Teaching

Presentations

Conferences

  • Spectral Asymptotics of Elliptic Operators on Manifolds, One World Mathematical Physics Seminar, International Association of Mathematical Physics, November 22, 2022; PDF Slides, Video Link: youtu.be/S5iK7A7338s 

  • Quantum Heat Traces, XIX International Congress on Mathematical Physics, Montreal, Canada, July 23-July 28, 2018

  • Heat Determinant on Manifolds, XVIII International Congress on Mathematical Physics, Santiago de Chile, July 27-August 1, 2015

  • Heat Trace of Laplace Type Operators on Spheres , International Congress of Mathematicians , Seoul, Korea, August 13-21, 2014

  • Organizer: Special Session on Topics in Spectral Geometry and Global Analysis, AMS Western Spring Sectional Meeting , Albuquerque, NM, April 5-6, 2014

  • Yang-Mills Theory on Spheres, 2012 Fall Western Section Meeting of AMS, Tucson, Arizona, October 27-28, 2012

  • Effective Action and Phase Transitions in Yang-Mills Theory on Spheres, Quantum Field Theory Under the Influence of External Conditions, Benasque, Spain, September 18-24, 2011

  • Heat Kernel Asymptotics of Singularly Perturbed Time-dependent Operators, Topics in Spectral and Scattering Theory, State College, Pennsylvania, August 9-13, 2010 

  • Heat Kernel on Homogeneous Bundles over Symmetric Spaces, XVI International Congress on Mathematical Physics, Prague, Czech Republic, August 3-8, 2009

  • Noncommutative Deformation of General Relativity, Holbaek Quantum Gravity Workshop, Holbaek, Denmark, May 11-19, 2008

  • Heat Kernel on Homogeneous Bundles over Symmetric Spaces, The 2007 Midwest Geometry Conference, Iowa City, Iowa, May 18-20, 2007, and 2007 Spring Western Section Meeting of AMS, Tuscon, Arizona, April 21-22, 2007

  • Spectral Asymptotics and Matrix Geometry, International Congress of Mathematicians, Madrid, Spain, August 22-30, 2006

  • Chromomagnetic Vacuum in Yang-Mills Theory, XV International Congress on Mathematical Physics, Rio de Janeiro, Brazil, August 6-11, 2006

  • Heat Kernel Asymptotics on Symmetric Spaces, Midwest Geometry Conference 2006, Norman, Oklahoma, May 5-7, 2006

  • Spectral Asymptotics of Noncommutative Laplacian, IXth New Mexico Analysis Seminar, Albuquerque, New MexicoApril 6-8, 2006

  • Spectral Asymptotics in Matrix Geometry, 2005 Midwest Geometry Conference, Columbus, Ohio, April 29-May 1, 2005

  • Matrix General Relativity, 20th Pacific Coast Gravity Meeting, Pasadena, California, March 26-28, 2004

  • Noncommutative Deformation of General Relativity, XIV International Congress on Mathematical Physics, Lisbon, Portugal, July 28-August 3, 2003

  • Singular Asymptotics of Partial Differential Operators, Southwestern Section Meeting of Mathematical Association of America, Socorro, New Mexico, April 5-6, 2003

  • Heat Kernel Asymptotics of Zaremba Boundary Value Problem, International Congress of Mathematicians, Beijing, China, August 20-28,  2002, and VIth New Mexico Analysis Seminar, Albuquerque, New Mexico, March 6-8, 2003

  • Heat Kernel Asymptotics of Operators with non-Laplace Principal Part, Workshop on Inverse Spectral Geometry, Lexington, Kentucky, June 26, 2002

  • Heat Kernel Asymptotics on Symmetric Spaces, Texas Geometry and Topology Conference, Lubbock, Texas, April 5-7,  2002

  • Heat Kernel Asymptotics of Zaremba Boundary Value Problem, Mini Conference on Spectral Geometry and Related Topics, Indianapolis, Indiana, March 8,  2002

  • Heat Kernel Approach in Quantum Field Theory (6 Lectures), International Meeting on Quantum Gravity and Spectral Geometry, Naples, Italy, July 2-7,  2001

  • Heat Kernel Asymptotics of a Non-smooth Boundary Value Problem, XIII International Congress on Mathematical Physics, London, UK, July 21, 2000, and Workshop on Spectral Geometry, Bristol, UK, July 14,  2000

  • Heat Kernel Asymptotics of Gilkey - Smith Boundary Value Problem, Third New Mexico Analysis Seminar, Las Cruses, New Mexico, February 26,  2000

  • Heat Kernel Asymptotics of Operators with non-Laplace Principal Part, Workshop in Partial Differential Equations, Potsdam, Germany, July 20, 1999

  • Heat Kernel Asymptotics of Gilkey - Smith Boundary Value Problem, 8th International Conference on Differential Equations and Mathematical Physics, Birmingham, Alabama, March 19, 1999

  • Heat Kernel Asymptotics of Gilkey - Smith Boundary Value Problem, Trends in Mathematical Physics, Knoxville, Tennessee, October 17, 1998

  • Heat Kernel Asymptotics for Laplace Type Operators, Iowa-Nebraska Functional Analysis Seminar, De Moines, Iowa, April 25, 1998

Colloquia

  • Spectral Asymptotics of Elliptic Operators on Manifolds,  New Mexico Institute of Mining and Technology, Socorro, New Mexico, February 3, 2023

  • Can one hear the shape of a drum? Spectral geometry, solitons and all that, New Mexico Institute of Mining and Technology, Socorro, New Mexico, March 1, 2019

  • Noncommutative Geometry from non-Laplace Type Operators, CALTECH, Pasadena, CA, May 10, 2017

  • Riemann Zeta Function and Riemann Hypothesis, New Mexico Institute of Mining and Technology, Socorro, New Mexico, October 25, 2013

  • Heat Kernel on Thermal Einstein Universe, New Mexico Institute of Mining and Technology, Socorro, New Mexico, September 6, 2013

  • Some Algebraic Methods for Partial Differential Equations, New Mexico Institute of Mining and Technology, Socorro, New Mexico, October 1, 2010

  • Topics in Financial Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, February 26, 2010

  • Heat Kernel Asymptotics on Manifolds, Kent State University, Kent, Ohio, September 24, 2009

  • Lectures on Analytic and Geometric Methods for Heat Kernel Applications in Finance, NATIXIS Corporate and Investment Bank, Paris, France, March 15-16, 2007

  • Heat Kernel in One Dimension, New Mexico Institute of Mining and Technology, Socorro, New Mexico, September 29, 2006

  • Spectral Asymptotics in Matrix Geometry, University of Oregon, Eugene, Oregon, March 16, 2006

  • Spectral Asymptotics and Geometry, New Mexico Institute of Mining and Technology, Socorro, New Mexico, October 7, 2005

  • Semiclassical Approximation for Equations of Quantum Mechanics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, September 24, 2004

  • Effective Action Approach in  Yang-Mills Theory and Quantum Gravity, Istituto Nazionale di Fisica Nucleare and Universita di Napoli "Federico II", Naples, Italy, May 23, 2003

  • Effective Action Approach in Quantum Field Theory, Los Alamos National Lab, Los Alamos, New Mexico, March 28, 2003

  • Why There Is No Quantum Gravity Yet?, New Mexico Institute of Mining and Technology, Socorro, New Mexico, November 7, 2002

  • Oblique Boundary Value Problems, New Mexico Institute of Mining and Technology, Socorro, New Mexico, October 4, 2002

  • Heat Kernel Asymptotics of Zaremba Boundary Value Problem, New Mexico Institute of Mining and Technology, Socorro, New Mexico, October 26, 2001

  • Introduction to Quantum Field Theory, New Mexico Institute of Mining and Technology, Socorro, New Mexico, September 28, 2001

  • Infinite-Dimensional Integrable Hamiltonian Systems and Isospectrality, New Mexico Institute of Mining and Technology, Socorro, New Mexico, September 7, 2001

  • Approximation Schemes for the Heat Kernel, New Mexico Institute of Mining and Technology, Socorro, New Mexico, April, 2001

  • Green functions of higher-order differential operators, New Mexico Institute of Mining and Technology, Socorro, New Mexico, February 9, 2001

  • Algebraic Approach to the Heat Equation, New Mexico Institute of Mining and Technology, Socorro, New Mexico, December 1, 2000

  • Vacuum Structure of Yang-Mills Theory, New Mexico Institute of Mining and Technology, Socorro, New Mexico, November 2, 2000

  • Heat Kernel Asymptotics of Differential Operators of non-Laplace Type, New Mexico Institute of Mining and Technology, Socorro, New Mexico, September 8, 2000

  • Effective Action Approach in Quantum Field Theory, New Mexico Institute of Mining and Technology, Socorro, New Mexico, April 20, 2000

  • Heat Kernel Asymptotics of a Non-Smooth Boundary Value Problem, New Mexico Institute of Mining and Technology, Socorro, New Mexico, February 4, 2000

  • Heat Kernel Asymptotic Expansion, New Mexico Institute of Mining and Technology, Socorro, New Mexico, December, 1999

  • Topics in Mathematical Physics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, October 8, 1999

  • Elliptic Differential Operators on Manifolds, New Mexico Institute of Mining and Technology, Socorro, New Mexico, March 31, 1999

  • Elliptic Operators on Manifolds with Boundaries, Indiana University - Purdue University at Indianapolis (IUPUI), Indianapolis, Indiana, September 25, 1998

  • Covariant Techniques for Computation of the Heat Kernel, Texas A & M University, College Station, Texas, January 15, 1998

Seminars

  • Korteweg-deVries Hierarchy, Analysis Seminar, 05/02/14

  • Noether Theorem and Conservation Laws, Analysis Seminar, 04/25/14

  • Lefschetz Fixed Point Theorem, Analysis Seminar, 02/28/14

  •  Pseudo-Differential Operators: Calculus of Symbols, Analysis Seminar, 02/07/14

  • Pseudo-Differential Operators: Introduction, Analysis Seminar, 01/31/14

  • Distributions, PDE Seminar, 02/01/13

  • Fourier Analysis, PDE Seminar, 01/25/13

  • Differential Forms, PDE Seminar, 10/12/12

  • Symplectic Forms, PDE Seminar, 10/05/12

  • Hamiltonian Systems, PDE Seminar, 09/28/12

Copyright © Ivan G. Avramidi; Contact: Department of Mathematics, New Mexico Tech, Socorro, NM 87801, USA; Phone: +1 (575)-835-5638; Fax: +1 (575)-835-5366; Email: ivan.avramidi@nmt.edu
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