Registration open for Summer Math Camp: Exploring Mathematics
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What’s happening in Math
Welcome to Dartmouth Mathematics
Graduate Students
Congratulations to our recent PhDs!
We are honored to celebrate the achievements of our graduate students who recently earned their doctoral degrees and participated in this year’s June Investiture ceremony! From left: Professor Feng Fu, Yao Xiao PhD ’22 (advisor Anne Gelb), Professor Anne Gelb, Matt Jones PhD ’22 (advisors Feng Fu and Scott Pauls), James Ronan PhD ’21 (advisor Anne Gelb), Sam Tripp PhD ’22 (advisor Ina Petkova), and Laura Petto PhD ’21 (advisor M. Cheney). James Ronan and Laura Petto both received their PhDs in June 2021 during a time of COVID restrictions, and were able to celebrate their achievements by walking in Investiture this year. You may view recent PhD theses abstracts as well as our list of recent PhD students, which goes back a number of years and shows the first jobs and current positions of our PhD alumni. Congratulations to all!
Alumni News
Former Byrne Scholar Jared Duker Lichtman proves decades-old Erdős conjecture
In February Jared Duker Lichtman AB, AM ’18, currently a Clarendon Scholar at the University of Oxford Mathematical Institute, released A proof of the Erdős primitive set conjecture, resolving a longstanding conjecture which states that the Erdős sum of the set of prime numbers is the largest of any set of primitive numbers (sets in which no number divides any other). Lichtman began working on the primitive set conjecture with his advisor, Professor Carl Pomerance, while an undergraduate at Dartmouth. Their work led to several joint papers, including The Erdős conjecture for primitive sets and A generalization of primitive sets and a conjecture of Erdős. Quanta Magazine describes his resolution of the conjecture in some detail. You may read Lichtman’s own explanation of his fascination with this topic and watch a short video in an article by the Oxford Mathematical Institute. Noted number theorist András Sárközy, who co-authored many papers with Paul Erdös, said proof of the conjecture “seemed beyond reach”; other number theorists were of similar opinion. Please join us in congratulating our alumnus on this major achievement!
Department News
Directed Reading Program 22S final presentations
To conclude a wonderful spring term of learning mathematics in our Directed Reading Program, four undergraduates gave final presentations on June 1. Topics included sheaf cohomology, the probabilistic method, Bayesian modeling and computation, and integer-point enumeration in polyhedra. Our program pairs undergraduate students with graduate mentors to undertake independent reading projects covering advanced topics in mathematics that are generally not taught at the undergraduate level, fostering a supportive environment for students seeking to further their interest in mathematics. Thank you to everyone who made this possible, especially all of our graduate mentors! Clockwise from top left: Varun Malladi ’23, Michael Gonzalez ’23, Ivy Junqing Yan ’22, program organizer Richard Haburcak, and Calvin George ’24. DRP will resume in Winter Term 2023!
Recent Publications
Sequential Image Recovery from Noisy and Under-Sampled Fourier Data
Yao Xiao, Jan Glaubitz, Anne Gelb, Guohui Song
Journal of Scientific Computing
A bipartite graph-based expected networks approach identifies DDR genes not associated with TMB yet predictive of immune checkpoint blockade response
William H. Weir, Peter J. Mucha, William Y. Kim
Cell Reports Medicine
Unramified Brauer groups of conic bundle threefolds in characteristic two
Asher Auel, Alessandro Bigazzi, Christian Böhning, Hans-Christian Graf von Bothmer
American Journal of Mathematics
Upcoming Events:
Monday, July 25 |
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Monday, August 15 |
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| 1 p.m. | |
Department of Mathematics
27 N. Main Street
6188 Kemeny Hall
Hanover NH 03755-3551
603.646.2415
deptaa@math.dartmouth.edu
27 N. Main Street
6188 Kemeny Hall
Hanover NH 03755-3551
603.646.2415
deptaa@math.dartmouth.edu
