Primality Test Using Elliptic Curves with Complex Multiplication by Q(\sqrt{-7})

Ph.D. Defense

Speaker:

Angela Wong

Institution:

University of California, Irvine, Math. Department

Time:

Thursday, June 6, 2013 - 10:00am

Location:

Rowland Hall 306

Advisor: Professor Alice Silverberg

Homogeneous Solutions of Pluriclosed Flow

Advancement to Candidacy Examination

Speaker:

Jess Boling

Institution:

University of California, Irvine, Math. Department

Time:

Friday, May 31, 2013 - 2:30pm

Location:

Rowland Hall 340P

Fastest Time to Cancer by Loss of Tumor Suppressor Genes

Advancement to Candidacy Examination

Speaker:

Cynthia Sanchez Tapia

Institution:

University of California, Irvine, Math. Department

Time:

Tuesday, May 21, 2013 - 1:30pm

Location:

Rowland Hall 340N

Selmer Ranks of Twists of Hyperelliptic Curves and Superelliptic Curves

Advancement to Candidacy Examination

Speaker:

Myungjun Yu

Institution:

University of California, Irvine, Math. Department

Time:

Wednesday, May 29, 2013 - 1:00pm

Location:

Rowland Hall 340P

Committee Members:
Karl Rubin
Alice Silverberg
Daqing Wan
Jeffrey Streets
Stanislaw Jarecki - Computer Science Department

Spectral Properties of Primitive Invertible Substitution Schrodinger and Jacobi Operators

Ph.D. Defense

Speaker:

May Mei

Institution:

University of California, Irvine, Math. Department

Time:

Monday, June 3, 2013 - 10:30am

Location:

Rowland Hall 306

Advisor: Anton Gorodetski

Selmer Parity Densities in Quadratic Twist Families of Elliptic Curves

Advancement to Candidacy Examination

Speaker:

Heng Su

Institution:

University of California, Irvine, Math. Department

Time:

Friday, May 31, 2013 - 1:00pm

Location:

Rowland Hall 340P

Committee Members:
Professor Karl Rubin, Chair
Professor Alice Silverberg
Professor Daqing Wan
Professor Li Sheng Tseng
Professor Stanislaw Jarecki, Computer Science

Random Potentials for Pinning Models

Ph.D. Defense

Speaker:

Chien-Hao Huang

Institution:

University of California, Irvine, Math. Department

Time:

Thursday, May 30, 2013 - 12:00pm

Location:

Rowland Hall 340P

Advisor: Michael Cranston

Noise Effects and Stochastic Dynamics in Biological Signaling and Patterning Systems

Ph.D. Defense

Speaker:

Meng Chen

Institution:

University of California, Irvine, Math. Department

Time:

Thursday, May 16, 2013 - 10:00am

Location:

Rowland Hall 306

Advisor: Professor Qing Nie

Graduate Student Survey

1 Start 2 page break 1 3 page break 2 4 page break 3 5 Complete

0. What year are you currently in? *

Indicate how many years you have spent in the program so far.

1a. Would you be in favor of postponing the Spring qualifying exams to one full week past Week 11 of the quarter? *

Yes

No

1b. Would you be in favor of anticipating the Fall qualifying exams by one week? *

Yes

No

2. Did the series 210 prepare you well for the corresponding qualifying examination? *

3. Did the series 220 prepare you well for the corresponding qualifying examination? *

4. Did the series 230 prepare you well for the corresponding qualifying examination? *

5. Do the outcomes of the qualifying examinations faithfully reflect your grasp of the material? *

5a. If you answered no on the previous question, can you please elaborate?

6. What would you find useful in helping you master the qualifying examinations? *

Please indicate if there is anything that is already or not yet offered by the department which would help in preparing you for the qualifying examinations.

7. How useful were the basic training courses in providing you with the skills and tools needed in your research (1-very little to 10-very much)? *

8. Are there any courses that you would like to see offered? *

9. What do you think about the program requirements? Do you think the time to accomplish the program requirements are reasonable? (coursework, exams, choice of specializations, advancement to candidacy) *

10. How useful do you find the advising system for pre-advancement students who are required to meet with their advisor quarterly (1-very little to very much-10)? *

11. What do you expect a provisonal advisor to do for you?

12. Do you find your provisional advisor responsive and available? *

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Positive Lyapunov exponents for higher dimensional quasiperiodic cocycles

Mathematical Physics

Speaker:

Silvius Klein

Institution:

CMAF, Universidade de Lisboa, Portugal

Time:

Tuesday, May 7, 2013 - 3:00pm

Location:

RH 306

Consider an m-dimensional analytic cocycle with underlying dynamics given by an irrational translation on the circle. Assuming that the d-dimensional upper left corner of the cocycle is typically large enough, we prove that the d largest Lyapunov exponents associated with this cocycle are bounded away from zero. The result is uniform relative to certain measurements on the matrix blocks forming the cocycle. As an application of this result, we obtain nonperturbative (in the spirit of Sorets-Spencer theorem) positive lower bounds of the nonnegative Lyapunov exponents for various models of band lattice Schrodinger operators. [This is joint work with Pedro Duarte.]

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