Bruno Nachtergaele

Department of Mathematics
University of California, Davis


Paper mail:
Department of Mathematics
University of California
Davis, CA 95616-8633
Phone: + (530) 601-4444 x 4011
Fax: + (530 ) 752-6635
Office: 3142 Mathematical Sciences Building

Research Page

Courses and Lecture Notes

Linear Algebra As an Introduction to Abstract Mathematics, Isaiah Lankham, Bruno Nachtergaele, and Anne Schilling, World Scientific 2016 (ISBN-10: 9814730351, ISBN-13: 978-9814730358), is a textbook for MAT067, Modern Linear Algebra. Click on the title to download a pdf file of the text. See the MAT067 homepage for more information on the course or download the freely available pdf version of the book.

The textbook for MAT201ABC Applied Analysis, by John Hunter and Bruno Nachtergaele, World Scientific 2001 ISBN 9810241917, is available on-line. You can view the text chapter by chapter (including errata for the first and second printing) in PS or PDF format.

Coming soon: Lecture Notes Introduction to Quantum Spin Systems (with Robert Sims), based on short courses on the subject I have taught over the past few years: NSF/CBMS Regional Conference in the Mathematical Sciences, Univeristy of Alabama, Birmingham (June 16-12, 2014). CBMS-Conference. University of Copenhagen (May 26-29, 2015). Master Class on Quantum Mechanics. University of Cergy-Pontoise (June, 2015). Technical University Munich (April-June, 2016) John von Neumann Lecture Course.


The Anyons! working seminar meets weekly during the academic year. Email me for the current schedule or if you would like to be added to the working \ group's email list and for access to its online resources.

For the Mathematical Physics and Probability Seminar, or other regularly scheduled seminars at the UCDavis Math department, see the Mathematics Colloquia and Seminars Page.

Postdocs and Students Page

CV and Publications

Short CV, CV with Talks at Conferences.
Papers on the arXiv.
Google Scholar listing.
Publications reviewed in Math Reviews.
ORCID iD icon
A PDF file with my publication list.

Here is a link to one of my papers that is otherwise not so easy to find:
A stochastic geometric approach to quantum spin systems: PS file (without figures), PDF file (with figures). This paper appeared in (now out of print): Geoffrey Grimmett (Ed), Probability and Phase Transition, NATO SCIENCE SERIES: C: Mathematical and Physical Sciences, Volume 420, Kluwer, 1994, pp 237-246.