James Cummings is a math professor at Carnegie Mellon University.
Ph.D.: Cambridge University

Personal website


Recent and upcoming talks by James Cummings

Set theory and model theory, Tehran, October 12-16, 2015

The purpose of the conference is to bring together researchers and individuals interested in all areas of set theory and model theory, to discuss the latest developments and findings in their areas, take stock of what remains to be done and explore different visions for setting the direction for future work. continue reading…

cmu math logic seminar tues april 7

James Cummings will continue to talk about ZFC constructions of objects of size omega_one. The main result will be the theorem of Todorcevic on colouring pairs of countable ordinals continue reading…

BLAST Conference at UNT June 8–12, 2015

BLAST2015@UNT Conference – ANNOUNCEMENT 1. http://math.unt.edu/BLAST2015@UNT DATE: June 8 – 12, 2015 WHERE: University of North Texas in Denton, TX BLAST (Boolean Algebras, Lattices, Algebraic & Quantum Logic, Universal Algebra, Set Theory, and Set-theoretic & Point-free Topology) is an annual conference sponsored by the National Science Foundation that has been running since 2008. continue reading…

5th European Set Theory Conference, August 24 – 28, 2015

The 5th European Set Theory Conference (5ESTC) is the fifth meeting in a series of biannual meetings coordinated by the European Set Theory Society. Earlier meetings were held in Bedlewo (1ESTC, July 2007 and 2ESTC, July 2009), Edinburgh (3ESTC, July 2011) and Mon St. continue reading…

James Cummings: Ramsey theory and topology

CMU math logic seminar 12:30 Tuesday 2 September Seminar will meet at the new time (12:30) in the new room (Wean Hall 8220) Speaker : James Cummings  (CMU) Title: “Ramsey theory and topology” The simplest form of the infinite Ramsey theorem states that any colouring of pairs of integers in two colours has an infinite monochromatic set. continue reading…

James Cummings: The tree property and some variations (Part II)

Speaker : James Cummings Title: The tree property and some variations (Part II) Abstract: The tree property is a property of large cardinal type which can consistently hold of small cardinals such as omega_2. continue reading…

James Cummings: The tree property and some variations

CMU math logic seminar Tuesday Mar 18 Speaker : James Cummings Title:  The tree property and some variations Abstract: The tree property is a property of large cardinal type which can consistently hold of small cardinals such as omega_2. continue reading…

James Cummings: Games, trees, colourings and forcing

Usual time (12:00-1:30 Tuesday) and place (Wean Hall 7201) Speaker: James Cummings Title: Games, trees, colourings and forcing Abstract: I will discuss some connections between games, trees, Ramsey-type theorems and forcing. continue reading…

James Cummings: Generalised stationary sets

Seminar will resume tomorrow (Tuesday Feb 4) at the usual place and time (Wean Hall 7201, noon to 1:30)  As usual Speaker:  James Cummings Title:    Generalised stationary sets Abstract: I will discuss various generalisations of the basic notion of stationary set, and related notions such as stationary reflection. continue reading…

MFO workshop in Set Theory, Oberwolfach, January 2014

These are title of the talks from the 2014 Oberwolfach meeting. Below, are some of the slides. Brendle – Rothberger gaps in analytic quotients Conley – Measurable analogs of Brooks’s theorem for graph colorings Cramer – Inverse limit reflection and generalized descriptive set theory Cummings – Combinatorics at successors of singulars Dobrinen – Progress in topological Ramsey space theory Dzamonja – Combinatorial versions of SCH Fischer – Template iterations and maximal cofinitary groups Gitik – Short extenders forcings and collapses Golshani – The effects of adding a real to models of set theory Koepke – An Easton-like Theorem for ZF Set Theory Krueger – Forcing square with finite conditions Lupini – Borel complexity and automorphisms of $C^*$-algebras Melleray – Full groups of minimal homeomorphisms and descriptive set theory Mildenberger – Specialising Aronszajn trees in a gentle way Moore – Completely proper forcing and the Continuum Hypothesis Motto Ros – On the descriptive set-theoretical complexity of the embeddability relation on uncountable models Neeman – Higher analogues of PFA Rinot – Complicated Colorings Sabok – Automatic continuity for isometry groups Sargsyan – Core Model Induction and Hod Mice Schindler – Does $\Pi^1_1$  determinacy yield 0#? continue reading…