I’m a number theorist, and, in Dyson’s classification, a frog. I enjoy simple-seeming questions that lead to a richness of structure. Areas of interest include elliptic curves, Kleinian groups, algebraic divisibility sequences, Diophantine geometry, arithmetic dynamics, and quadratic and hermitian forms. I am especially interested in cryptography, including elliptic-curve and isogeny-based cryptography and post-quantum lattice-based cryptography, as well as quantum algorithms, in part for the surprising way mathematical structures can have an outsize influence on human affairs. I enjoy problems that involve experimental, algorithmic, and especially visual mathematics, using a computer and other tools. I am developing a mild obsession with mechanical computing machines. There’s a great deal of hidden beauty in number theoretical problems waiting to be illustrated.

You can find my CV here.

## Recent News

- I’m co-organizing ICERM’s Fall 2019 Semester in Illustrating Mathematics and the associated weeklong workshop on Illustrating Number Theory and Algebra.
- My sampler in the Notices about Illustration in number theory has just appeared.
- I have a new paper on a Ring version of the Blum-Kalai-Wasserman algorithm for Ring-LWE.
- I’m running a new Experimental Mathematics Lab at CU Boulder.
- Upcoming travel: HINT and AMS in Hawaii, Arithmetic, Geometry, Cryptography and Coding Theory at CIRM, SIAM in Bern, SWiM at MSRI, and Illustrating Mathematics at ICERM.
- I’ve put up some Sage code for circle packings.
- My father passed away recently. Learn a little about him.

## A Brief History

- Birth of our son,
**Zahav Wise**, August 2017. - Birth of our son,
**Yitzhak Wise**, January 2013. **NSF Postdoc**at Stanford University, 2011-12- Married to Jonathan Wise, 2010.
**NSERC/PIMS/NSF Postdoc**at Simon Fraser University and the Pacific Institute for the Mathematical Sciences at the University of British Columbia, 2009-11**NSF Postdoc**at Harvard University, 2008-09**Ph.D.**under Joseph H. Silverman at Brown University, 2008**Intern**, Microsoft Research, under Kristin Lauter, 2007**A.W.O.L.**(actually A.W.L.) in Russia and Tibet, Summer/Fall 2005**M.Sc.**Mathematics, Brown University, 2003**B.Math.**Pure Mathematics, University of Waterloo, 2001**Camper**, PROMYS, 1996 & 1997

## Contact

- Department of Mathematics

University of Colorado, Boulder

Campus Box 395

Boulder, CO, USA, 80309-0395 - Office 308, Mathematics Building
- Office phone: (303) 492-3346

Department fax: (303) 492-7707 - To email me, punctuate kstange math colorado edu