Brandon Alberts

University of Wisconsin-Madison
2 018
Graduate Fellow
Research Interests: 
Number Theory, Arithmetic Statistics

Spring 2016:  I worked on computing the moments of the distribution of unramified G-extensions of imaginary quadratic fields for various G, verifying a conjecture of Melanie Wood.

Summer 2016:  I worked on my paper. I also participated in the RTG lunch on Mondays, and some RTG funds went to my trip to the Arizona winter school and my trip to Warwick for a conference on Cohen-Lenstra Heuristics and Arithmetic statistics.

Fall 2016: I posted two papers to the ArXiV. The first paper is titled "Cohen-Lenstra Moments for Some Nonabelian Groups", which I had been working on for the past year. The second paper written collaboratively with Jack Klys is titled "The Distribution of H_8-extensions of Quadratic Fields". I also used some RTG funds to attend and present the results of the first paper at the Quebec-Maine number theory conference.

Spring 2017: I used RTG funds to travel to the 2017 Atkin workshop and Arizona winter school.

Summer 2017: I posted a third paper to the arxiv on unramified metabelian extensions using lemmermeyer factorizations. I also used RTG funds to travel to the CAAATQuafs conference and a conference and summer school at the ICTP.

Fall 2017: In addition to editting my papers based on reviewer suggestions, I began applying for postdoctoral positions. I used RTG funds to travel and present at the Maine-Quebec number theory conference and the Southern California Number Theory Day.

Spring 2017: I attended the Arizona Winter School and presented the results of my third paper at the AMS sectional at Northeastern University.  I began work on my dissertation and posted a new paper "The Weak Form of Malle's Conjecture and Solvable Groups" to the arxiv, providing new evidence in support of a conjecture of Malle.

Summer 2017: I attended the Probability in Number Theory summer school at CRM in Montreal and the conference in celebration of Barry Mazur's 80th birthday at Harvard. I accepted a position at the University of Connecticut as a Visiting Assistant Professor, finished my dissertation, defended my thesis, and graduated at the end of the summer.

Fall 2018: Begin my position at the University of Connecticut. Submitted my newest paper to a journal, and am continuing to edit the other papers I have submitted as per reviewer suggestions.