Boris Alexeev

I graduated from the PhD program in mathematics at Princeton relatively recently. I was supported by the NSF graduate research fellowship. I am interested in some mix of algebra, combinatorics, and complexity.

For over ten years, I co-organized the annual UGA high school math tournament in Athens, Georgia.

I'm not a boat.

Contact info

Email: bale...@math.princeton.edu (username is first initial and last name)
Office: 511 Fine Hall, Washington Rd, Princeton NJ 08544.

Coauthors

Afonso S. Bandeira (Princeton), Jameson Cahill (Duke), Matthew Fickus (AFIT), Michael Forbes (IAS), Jacob Fox (Stanford), Alexandra Fradkin (CCR Princeton), Ron Graham (San Diego), M. Brian Jacokes (Dropbox), Ilhee Kim (Princeton), Dustin Mixon (AFIT), Jacob Tsimerman (Toronto), and Rachel Ward (Texas)

Papers

Each paper title below links to more detailed information. General information about all of my papers is also available.

PDF logoPhase retrieval with polarization
(with Afonso S. Bandeira, Matthew Fickus, and Dustin Mixon)
SIAM Journal on Imaging Sciences 7 (2014), no. 1, 35–66.
PDF logoFull spark frames
(with Jameson Cahill and Dustin Mixon)
Journal of Fourier Analysis and Applications 18 (2012), no. 6, 1167–1194.
PDF logoAn analysis of a war-like card game
(with Jacob Tsimerman)
American Mathematical Monthly 119 (2012), no. 9, 793–795.
PDF logoA rearrangement step with potential uses in priority queues
(with M. Brian Jacokes)
Note, March 2012.
PDF logoForbidden induced subgraphs of double-split graphs
(with Alexandra Fradkin and Ilhee Kim)
SIAM Journal on Discrete Mathematics 26 (2012), no. 1, 1–14
PDF logoTensor rank: some lower and upper bounds
(with Michael Forbes and Jacob Tsimerman)
IEEE Conference on Computational Complexity 26 (2011), 283–291.
PDF logoOn the complexity of Mumford-Shah type regularization, viewed as a relaxed sparsity constraint
(with Rachel Ward)
IEEE Transactions on Image Processing 19 (2010), no. 10, 2787–2789.
PDF logoA direct proof of Mulmuley's weak #P versus NC result
(with Jacob Tsimerman)
Note, February 2009.
PDF logoEquations resolving a conjecture of Rado on partition regularity
(with Jacob Tsimerman)
Journal of Combinatorial Theory, Series A 117 (2010), no. 7, 1008–1010.
PDF logoOn minimal colorings without monochromatic solutions to a linear equation
(with Jacob Fox and Ron Graham)
Combinatorial Number Theory, de Gruyter, Berlin, 2007, pp. 1–22.
PDF logoOn lengths of rainbow cycles
Electronic Journal of Combinatorics 13 (2006), no. 1, R105, 14 pp.
PDF logoMinimal DFA for testing divisibility
Journal of Computer and System Sciences 69 (2004), no. 2, 235–243.