If you find broken links or erroneous/outdated information, please contact me.

I am looking for people to do a reading seminar of Grothendieck's EGA (and maybe SGA) over the summer or throughout next year. Contact me if you're interested.

Spring 2009

Courses I am teaching:

• Math 181 (Calculus II) discussion section (1PM)
• Math 181 (Calculus II) discussion section (2PM)

Courses I am taking:

• Math 518: Representation Theory with Ramin Takloo-Bighash (course resources)
  Lectures notes
  Books:

  • Fulton W., Harris J. Representation theory. A first course. (1991)
  • Atiyah M., et al. Representation theory of Lie groups (1977)
• Math 547: Algebraic Topology I with John Wood (course resources)
  Lectures notes
  Books:

  • Hatcher, A. Algebraic Topology
• Math 553: Algebraic Geometry II with Henri Gillet (course resources)
  Lectures notes
  Books:

  • Hartshorne R. Algebraic geometry (1997)
  • Eisenbud D., Harris. J. The Geometry of Schemes (2000)
  • List of Algebraic Geometry Lecture Notes
• Modular forms seminar with Ramin Takloo-Bighash (course resources)
  Lectures notes. I will give a lecture on February 9th, 2009 about compactifying Riemann surfaces and the relation to modular forms.
  The Bilkent notes list for elliptic curves and modular forms

Courses I'll try to sit in on:

• Math 512: Model Theory of Fields with Alice Medvedev. (course resources)
  Lectures notes
  Model Theory of Fields by David Marker (UIC login required)
• Math 446: Introduction to Topology II with Stefan Wenger. (Lectures notes)
• Math 442: Differential Geometry of Curves and Surfaces with David Dumas.
• Math 535: Complex Analysis with Laura DeMarco (course resources)
  Lectures notes
  Books:

  • Ahlfors, L. Complex Analysis
  • Rudin, W. Real and Complex Analysis ("big Rudin")

Seminars I'll be attending or lecturing at:

• Intersection Theory Seminar by UIC graduate students. (seminar resources)
  Lecture notes
  Remind me to upload the Fulton book.
• Class Field Theory lectures by Ramin Takloo-Bighash. (seminar resources)
  Lecture notes coming soon...
  The Bilkent list on class field theory
  Some p-adic exercises
• Graduate Number Theory seminar (notes coming soon...)

Conferences I'll be attending:

• Arizona Winter School 2009 (tentative)
• 2nd Bluegrass Algebra Conference (tentative)

Fall 2008

Courses I was teaching:

• Math 075 with professor Rice (9AM)

Courses I was taking:

• Math 552: Algebraic Geometry I with Izzet Coskun (Course notes - last modified November 14th, 2008)
• Math 531: Introduction to Commutative Algebra with Mihnea Popa (course resources, and Course notes - last modified November 14th, 2008)
  Books:

  • MacDonald, A. Introduction to Commutative Algebra (1969)
  • Eisenbud, D. Commutative Algebra with a View Toward Algebraic Geometry
  • Ash, R. Abstract Algebra: the Basic Graduate Year
• Math 549: Differentiable Manifolds with Marc Culler (Course notes - last modified November 19th, 2008)
• Math 515: Number Theory II with Alina Cojocaru (Final Project)

I also attended and gave talks at the elliptic curves seminar.

Spring 2008

Courses I was teaching:

• Math 215 with professor Masur (11-12)
• Math 215 with professor Libgober (1-2)

Courses I was taking:

• Math 504: Set Theory with David Marker (some early course notes)
• Math 535: Complex Analysis with Howard Masur (course resources)
  Books:

  • Ahlfors, L. Complex Analysis
  • Rudin, W. Real and Complex Analysis ("big Rudin")
• Math 517: A Second Course in Algebra II with Ramin Takloo-Bighash (course resources)
  Books:

  • Dummit and Foote. Abstract Algebra
  • Ash, R. Abstract Algebra: the Basic Graduate Year

Fall 2007

Courses I was taking:

• Math 533: Real Analysis I with Henri Gillet (course resources)
  Books:

  • Folland, G. Real Analysis: Modern Techniques and their Application
  • Rudin, W. Principles of Mathematical Analysis ("baby Rudin")
• Math 417: Complex Analysis with Roman Shvydkoy
• Math 516: A Second Course in Algebra I with Bhama Srinivasan (course resources)
  Books:

  • Dummit and Foote. Abstract Algebra
  • Ash, R. Abstract Algebra: the Basic Graduate Year