The Homepage of Greg Cousins

Personal Information


Full name: Gregory Cousins 
Address:
University of Notre Dame
  Department of Mathematics  
  221 Hayes-Healy Centre (Office)  
  255 Hurley Hall (Mailing Address)  
  Notre Dame, Indiana  
  46556  
  U.S.A. 
Phone: 1-574-344-3877
email: gcousins_at_nd.edu

About Me

I am a sixth year PhD student in the Math Department of the University of Notre Dame. My current interests include model theory and its interactions with other areas of mathematics. In particular, I am interested in the model theory of fields, and in connections between model theory and algebraic geometry and number theory. I also have a soft spot for the foundations of physics.
My advisor is Anand Pillay.

My CV

Publications and Preprints:

  • Quentin Brouette, Greg Cousins, Anand Pillay & Francoise Point (2018) Embedded Picard–Vessiot extensions, Communications in Algebra, 46:11, 4609-4615, DOI: 10.1080/00927872.2018.1448848
  • Campion, Tim, Greg Cousins, and Jinhe Ye. "Classifying spaces and the Lascar group." arXiv preprint arXiv:1808.04915 (2018). (Submitted)

    Notes:

  • Corps et Chirurgie (Fields and Surgery) - An english translation of the paper by Pillay and Poizat.
  • Pseudofinite Model Theory - Notes taken by students attending a topics course given by Anand Pillay in the Fall of 2014 at Notre Dame.
  • Categorical Logic - Notes taken by students attending a topics course given by Anand Pillay in 2017 at Notre Dame.
  • Hrushovski's PhD Thesis - A good quality copy of Hrushovski's PhD thesis that I've converted to a (mostly) searchable file.
  • The Elementary Theory of Regularly Closed Fields - An unpublished and influential paper by Cherlin, van den Dries, and MacIntyre on the model theory of PAC fields.

    Teaching


    Links:

  • A Map of the Model Theory Universe created by Gabe Conant!
  • Mathematics Graduate Student Association
  • McMaster Logic
  • Oxford Logic Group
  • Notre Dame Logic Group
  • Boris Zilber
  • Mike Haskel
  • Paul McEldowney
  • Eric Wawerczyk
  • Caroline Terry






    Thanks to Boris Zilber for inspiring this webpage!