O’Hara Professor of Philosophy and Mathematics, University of Notre Dame

I have now taken up a position at the University of Notre Dame as the O’Hara Professor of Philosophy and Mathematics, beginning January 2022.

My appointment is with the Department of Philosophy with an affiliation with the Department of Mathematics. I expect to be teaching and working with students both in philosophy and mathematics.

Notre Dame offers a unique joint PhD degree program between mathematics and philosophy, the program in logic and the foundations of mathematics. For Notre Dame undergraduates of any major, I encourage you to consider the mathematical philosophy minor.

Notre Dame has strong research groups in logic in both philosophy and mathematics. In philosophy, Notre Dame recently came out very well in the speciality PGR rankings in philosophy of mathematics (#2, tied with NYU, Princeton, behind Harvard), mathematical logic (#2 tied with CMU, behind Harvard), and philosophical logic (group 2). In mathematics, Notre Dame has a strong research group in mathematical logic.

Oxford University, Professor of Logic & Sir Peter Strawson Fellow, University College Oxford

In September 2018, I took up a new position in Oxford:

I am looking forward to starting this new chapter in my life and academic career.

Wish me luck!


New York University, Visiting Professor of Philosophy, 2015

NYU PhilosophyI am Visiting Professor of Philosophy at New York University for the Spring 2015 semester, while on sabbatical from CUNY.  This is my second jaunt at NYU, since I was also Visiting Professor there in 2011, and I am hopeful this visit will be as productive as my last.

NYU faculty profile

City University of New York, since 1995

I am a professor at the City University of New York, where I have held a faculty position since 1995.  (I have taken various leaves of absence for various appointments at other universities.) The City University is the nation’s largest urban university system, with over 250,000 students spread over 11 senior colleges and more, with the doctoral programs centered largely at the Graduate Center, which borrows much of its faculty from the colleges.

College of Staten IslandThe College of Staten Island is one of the senior colleges of the City University of New York, situated on an ample wooded campus surrounded by Willowbrook Park and the Greenbelt nature preserve.  I am Professor of Mathematics at the college, and this is where I do all my undergraduate and masters-degree level teaching at CUNY.  The mathematics department has research strengths in many areas, including probability, topology, logic and set theory and also applied mathematics, housing the CUNY High Performance Computing Center.  Most of our undergraduate mathematics majors aim to become mathematics teachers, and almost all of our masters-level mathematics students are current high school teachers gaining their certifications.  I was appointed to the mathematics faculty at the college in 1995, and served as Assistant Professor 1995-1998; Associate Professor 1999-2002; tenure granted 2000; and full Professor since 2003.


The Graduate Center

I am also on the doctoral faculty of the CUNY Graduate Center, which is home to most of the university’s doctoral programs and is in many ways the center of research life at CUNY. Located in midtown Manhattan just across the corner from the Empire State Building, the Graduate Center forms the main part of the Advanced Learning Superblock, joined by Oxford University Press and the NYPL Science Library.  The Mathematics program has diverse research strengths, including a remarkably large faculty in mathematical logic, as does the program in Computer Science.  The CUNY Graduate Center Philosophy program is one of the world’s top-rated universities in the area of mathematical logic (and a few years ago was rated number one in this category).  We offer a vigorous schedule of logic seminars at the Graduate Center, with many distinguished visiting speakers and audiences filled with faculty and students from around the NYC metropolitan region.

I am a member of the Graduate Center doctoral faculty in three areas:

I regularly teach graduate courses at the Graduate Center and supervise the dissertation research of my Ph.D. graduate students there.  I am also currently a member of the Executive Committee of the mathematics program.

Fields Institute, Toronto, Scientific Researcher, 2012

During August 2012, I was a visiting Scientific Researcher at the Fields Institute at the University of Toronto, participating in their thematic program on Forcing and it Applications.

Isaac Newton Institute of Mathematical Sciences, Cambridge, Visiting Fellow, 2012

I held a Visiting Fellow position at the Isaac Newton Institute for Mathematical Sciences in Cambridge during March — April and June 2012, where I participated in the workshop on Logical Approaches to Barriers in Complexity II, March 26-30, 2012, a part of the program Semantics and Syntax: A Legacy of Alan Turing.

This visit was extremely productive mathematically for me, and it was at the Isaac Newton Institute that I proved the main part of my theorems on embeddings of countable models of set theory.

New York University, Visiting Professor of Philosophy, 2011

NYU PhilosophyI held the position of Visiting Professor of Philosophy at New York University during July-December, 2011.  This was an extremely productive time for me in my research, particularly with regard to my work on the multiverse conception in set theory.  In addition, I taught a course on the Philosophy of set theory while at NYU.

University of Vienna, Guest Professor, June 2009

JosephinumI held the position of Guest Professor at the University of Vienna, Kurt Godel Research Center, in June 2009.

University of Amsterdam, ILLC, Visiting Professor, 2005, 2006, 2007

AmsterdamWhile on sabbattical from CUNY, I held a Visiting Professor position at the Universiteit van Amsterdam at the Institute for Logic, Language and Computation during April–August 2007. During the two years previous to this, I was an NWO-sponsored Bezoekersbeurs Visiting Researcher there, during June–August 2005 and June 2006.  While in Amsterdam, I worked with Benedikt Löwe, particularly on our work concerning the modal logic of forcing.

University of Münster, Mercator Gastprofessor, 2004

Muenster SchlossI held a Mercator Gastprofessor position from the DFG at Universität Münster, Institut für mathematische Logik, during May to August, 2004.

Georgia State University, Associate Professor, 2002 – 2003

AtlantaI held the position of Associate Professor at Georgia State University in the Department of Mathematics and Statistics during the 2002 – 2003 academic year.

Carnegie Mellon University, Visiting Associate Professor, 2000 – 2001

Carnegie-Mellon-UniversityDuring the 2000 – 2001 academic year, I held the position of Visiting Associate Professor of Mathematics at Carnegie Mellon University.

Kobe University, JSPS Fellowship, 1998

An elegant meal in KobeI held a JSPS Fellowship from the Japan Society for the Promotion of Science at the Graduate School of Kobe University, in Kobe, Japan, from January to December, 1998.  I was a part of the Kobe University Logic Group, and Philip Welch served as my official mentor at that time.  Jörg Brendle started in Kobe at very nearly the same time.


University of California at Berkeley, Visiting Assistant Professor, 1994 – 1995

Berkeley-viewJust after earning my Ph.D. there the year before, I held a post-doctoral Visiting Assistant Professor position at the University of California at Berkeley during the academic year 1994 – 1995.  I had by that time already been offered my position at the City University of New York, but was able to defer the start of that position from 1994 to 1995 in order to accommodate the Berkeley position.