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IVAN AVRAMIDI
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IVAN AVRAMIDI
  • Home
  • Research
  • Books
  • Publications
  • Presentations
  • Teaching
  • More
    • Home
    • Research
    • Books
    • Publications
    • Presentations
    • Teaching

Teaching

Basic Mathematics

  • MATH 131: Calculus and Analytic Geometry I

  • MATH 132: Calculus and Analytic Geometry II

  • MATH 231: Calculus and Analytic Geometry III

  • MATH 332: Vector Analysis

  • MATH 335: Ordinary Differential Equations

Policies

  • Academic Honesty Policy

  • Homework Policy

Algebra & Discrete Math

  • MATH 352: Basic Concepts of Mathematics

  • MATH 454: Linear Algebra

Analysis

  • MATH 372: Basic Concepts of Analysis

  • MATH 435: Complex Analysis

  • MATH 436: Complex Analysis

  • MATH 471: Introduction to Real Analysis

Geometry

  • MATH 442: Introduction to Differential Geometry 

  • MATH 542: Topics in Differential Geometry

  • MATH 581: Advanced Differential Geometry

  • MATH 581: Introduction to Algebraic Geometry

  • MATH 581: Introduction to Index Theory

  • MATH 581: Topics in Global Analysis

  • MATH 581: Geometric Analysis

Mathematical Physics

  • MATH 535: Methods of Mathematical Physics

  • MATH 536: Methods of Mathematical Physics

Quantum Field Theory

  • MATH 491: Topics in Classical and Quantum Gravity

  • MATH 581: Introduction to Quantum Field Theory

  • MATH 581: Quantum Field Theory in Curved Spacetime

  • MATH 581: Introduction to String Theory

Lecture Notes

PhD Preliminary Examination

  • PhD Preliminary Examination in Analysis (Practice Exam)

Graduate Advising

Graduate Students 

  • Roberto Niardi, PhD in Mathematical Physics, Geometric Deformation of Quantum Mechanics and Modified General Relativity via Matrix Gravity, (2026)

  • Forest Good, MSc in Mathematics, Geometry and Analysis of Spinor Valued Forms on Riemannian Manifolds, (2026)

  • Saunder Jones, MSc   in Mathematics, Geometry and Analysis on Warped Product Manifolds, (2025)

  • Christian Hackett, MSc in Mathematics, Spectral Theory of Laplacian on Wedge Manifolds, (2025)

  • Kevin Gomez, MSc in Mathematics,  A Generalized SABR Model with Jumps in Financial Mathematics, (2020)

  • Samuel Collopy, PhD in Mathematical Physics, Thermal Yang-Mills Theory and Quantum Gravity on Products of Spheres, (2019)

  • Benjamin Buckman, MSc in Mathematics, Calculation of Heat Determinant Coefficients for Scalar Laplace Type Operators, (2014)

  • Guglielmo Fucci, PhD in Mathematical Physics, Non-perturbative Aspects of Quantum Electrodynamics on Curved Space and Investigations in Matrix Gravity, (2009)

  • Chenggeng Bi, MSc in Mathematics, Study of SABR Model in Quantitative Finance, (2008)

  • Samuel Collopy, MSc in Mathematical Physics, Vacuum Structure of Yang-Mills Theory in Curved Spacetime (2007)

  • Andrey Novoseltsev, MSc in Mathematics, Spectral Geometry of Riemannian Submanifolds  (2005)

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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