Calendar

Jan
13
Wed
Post-conference workshop
Jan 13 @ 8:00 am – Jan 13 @ 3:45 pm
Post-conference workshop

8:00 – 3:45 Keller Hall 313

(instead of as previously announced 8:00-12:30 Keller Hall 302, 12:30-3:45 Keller Hall 301)

Potential times for sessions

Local organizers Khan, Kjos-Hanssen, Beros, Ross will be teaching at some times.

Wednesday
8:30 – 9:20
9:30 – 10:20 (Khan teaching)
10:30 – 11:20
11:30 – 12:20 (Kjos-Hanssen teaching; Ross teaching logic)
12:30 – 1:20 (Khan teaching)
1:30 – 2:20 (Kjos-Hanssen teaching; Ross teaching logic)
2:30 – 3:20

Jan
14
Thu
Post-conference workshop
Jan 14 @ 8:45 am – Jan 14 @ 3:15 pm
Post-conference workshop

8:45-3:15 Keller Hall 314

Potential times for sessions

Local organizers Khan, Kjos-Hanssen, Beros, Ross will be teaching at some times.

Thursday
9:00 – 10:15 (Beros teaching)
10:30 – 11:45
12:00 – 1:15 (Beros teaching)
1:30 – 2:45

Undergraduate Colloquium – Joseph H. Silverman (Brown University) @ Bilger 335
Jan 14 @ 3:00 pm – 4:00 pm

Title: Taxicabs and Sums of Two Cubes: An Excursion in Mathematics
Speaker: Joseph H. Silverman (Brown University)

Some numbers, such as

9 = 1^3 + 2^3 and 370 =3^3 + 7^3,

can be written as a sum of two cubes. Are there any numbers that can be written like this in two (or more) different ways? This elementary question will lead us into a beautiful area of mathematics where number theory, geometry, algebra, and calculus interact in surprising ways. The talk will be accessible to undergraduates at all levels.

Jan
15
Fri
Post-conference workshop
Jan 15 @ 8:00 am – Jan 15 @ 3:45 pm
Post-conference workshop

8:00-3:45 Keller Hall 313

Potential times for sessions

Local organizers Khan, Kjos-Hanssen, Beros, Ross will be teaching at some times.

Friday
8:30 – 9:20
9:30 – 10:20 (Khan teaching)
10:30 – 11:20
11:30 – 12:20 (Kjos-Hanssen teaching; Ross teaching logic)
12:30 – 1:20 (Khan teaching)
1:30 – 2:20 (Kjos-Hanssen teaching; Ross teaching logic)
2:30 – 3:20

Colloquium: Joseph H. Silverman (Brown University) @ Keller 401
Jan 15 @ 3:30 pm – 4:30 pm

Speaker:Joseph H. Silverman (Brown University)

Title: The Ubiquity of Elliptic Curves

Abstract: Elliptic curves are amazing mathematical objects that have rich geometric, algebraic, and analytic structures. They appear frequently in mathematics and physics with applications ranging from cryptography to string theory to Fermat’s Last Theorem. In this survey talk I will explain what elliptic curves are and briefly describe some of their many uses in mathematics and physics.

Jan
22
Fri
Colloquium: David R. Stoutemyer (UHM, ICS Department) @ Keller 401
Jan 22 @ 3:30 pm – 4:30 pm

Speaker: David R. Stoutemyer (UHM, ICS Department)

Title: A mathematical magic show: Demo and secrets of a prototype AskConstants website that can turn your floating-point results into the exact formulas that they want to be.”

Abstract: There are at least three existing websites that already do what the title promises:

https://isc.carma.newcastle.edu.au/

http://mrob.com/pub/ries/index.html

http://www.wolframalpha.com/

I will describe their techniques and some additional ones used in the AskConstants program. As a contest, if you email dstout at this university a floating-point constant or a float-free constant expression such as sqrt (3) / 2 + 3 * pi / 5, that I can convert to a float, then I will summarize how AskConstants and other such programs perform on that example. If you send a float, try to compute it using at least n-digit arithmetic where n is several more than the total number of digits, operators and functions in its float-free source. Good sources of ideas are calculus text definite integrals, algebraic numbers, values of special functions at rational arguments or at rational multiples of pi, constants from research literature and collections such as Steven Finch’s Encylopedia of Constants:

http://www.people.fas.harvard.edu/~sfinch/

Jan
26
Tue
Analysis Seminar – Thomas Hangelbroek @ Keller 401
Jan 26 @ 3:30 pm – 4:30 pm

Speaker: Thomas Hangelbroek, UH-Manoa

Title: Kernel approximation and PDEs (Part 1 of 2)

Abstract: Fundamental solutions to elliptic partial differential equations can serve as a useful tool for solving a variety of computational problems (e.g., data fitting, denoising, quadrature, numerical solution of differential equations). In these talks, I’ll develop some key results about meshless approximation with kernels arising as solutions to elliptic PDE — focusing primarily on analytic properties which derive directly from the differential equation, such as their approximation power and localized structure. I’ll include a number of examples on spheres, the rotation group, compact Riemannian manifolds without boundary, and Euclidean regions with boundaries.

Jan
28
Thu
Undergraduate Colloquium – Gideon Zamba (U. Iowa) @ Bilger 335
Jan 28 @ 3:00 pm – 4:00 pm

Speaker: Gideon Zamba (U. Iowa)

Title: Data-Driven Sciences: Another Way to Bring Math to the World and the World to Math

Abstract: Applied mathematics is a field of constant adaptability to the world’s contingencies. Such adaptability requires a solid training and understanding of theoretical and pure mathematical thinking—as the activity of applied thinking is vitally connected with research in pure mathematics. One such applied mathematical field is the field of statistics. As the world continues to rely more on data for decision making, statistics and associated data-driven fields have gained increased recognition. The purpose of this talk is to educate the audience about the field of statistics, about statistical involvements, and further provide examples of settings where statistical theory finds an application and where real world application calls for a new statistical development. The presentation further elaborates on Biostatistics and provides some general advice about mathematical and computational skills needed for a successful graduate degree in Biostatistics or Statistics.

The presentation is semi-technical.