**Date and time:**

**Wednesday, March 26, 2008**

4:00pm, Physics Bldg., Room 202

**Title of talk: ***Solved and unsolved problems in number theory*

**Abstract: **I will survey a few of my favorite problems in number theory, such as Fermat's last theorem (solved) and the rectangular box problem (unsolved).

**Thursday, March 27, 2008**

3:30pm, Boyd Graduate Studies Bldg., Room 328

**Title of talk: ***Hilbert's tenth problem*

**Abstract: **Hilbert dreamed that someday we would have a general method for solving all diophantine equations, but in 1970 it was proved that no such method exists. By-products of the proof include connections to prime-producing polynomials and the Riemann hypothesis.

**Friday, March 28, 2008**

3:30pm, Boyd Graduate Studies Bldg., Room 328

**Title of talk: ***Undecidability everywhere*

**Abstract: **Undecidable problems exist in many other subjects, such as group theory and topology. There are also a few problems in number theory and algebraic geometry whose decidability status is not yet known.