• Contact Info
Publications in VIVO
 

Ih, Su-Ion Associate Professor

Positions

Research Areas research areas

Research

research overview

  • My main research interests lie in the distribution of algebraic, rational, and integral points on algebraic varieties from the various points of view of number theory --- finiteness, non-density, effectiveness, quantitativeness, etc. All these are closely connected to one another. For instance, finiteness leads to a question of effectiveness (i.e., whether it is possible to determine all those finitely many objects under consideration explicitly) and quantitativeness (i.e., how the finite numbers vary under some involved parameters). Another research interest subject of mine is algebraic geometry --- more geometry-oriented. An example is what we can say about lower-dimensional sub-varieties of a fixed higher-dimensional variety and how we can apply the results to the study of the higher-dimensional variety, or the other way around. This looks fascinating in itself, but also has something close to do with the number-theoretical questions stated above.

keywords

  • number theory, arithmetic geometry, distribution of algebraic, rational, and integral points on algebraic varieties, algebraic geometry, arithmetic and geometric aspects of higher-dimensional algebraic varieties

Publications

selected publications

Teaching

courses taught

  • MATH 4890 Honors Independent Study (Spring 2019)
  • MATH 6900 Independent Study (Spring 2019)
  • MATH 6940 Master's Degree Candidate (Spring 2019)
  • MATH 6950 Master's Thesis (Spring 2019)
  • MATH 8900 Independent Study (Spring 2019)
  • MATH 8990 Doctoral Dissertation (Spring 2019)
  • MATH 4440 Mathematics of Coding and Cryptography (Fall 2018)
  • MATH 4890 Honors Independent Study (Fall 2018)
  • MATH 4900 Independent Study (Fall 2018)
  • MATH 5440 Mathematics of Coding and Cryptography (Fall 2018)
  • MATH 6110 Introduction to Number Theory (Fall 2018)
  • MATH 6900 Independent Study (Fall 2018)
  • MATH 6940 Master's Degree Candidate (Fall 2018)
  • MATH 6950 Master's Thesis (Fall 2018)
  • MATH 8900 Independent Study (Fall 2018)
  • MATH 8990 Doctoral Dissertation (Fall 2018)
  • MATH 4890 Honors Independent Study (Spring 2018)
  • MATH 6190 Analytic Number Theory (Spring 2018)
  • MATH 6900 Independent Study (Spring 2018)
  • MATH 6940 Master's Degree Candidate (Spring 2018)
  • MATH 6950 Master's Thesis (Spring 2018)
  • MATH 8900 Independent Study (Spring 2018)
  • MATH 8990 Doctoral Dissertation (Spring 2018)

Background

International Activities

Other Profiles