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  • Bangere Purnaprajna

Bangere P. Purnaprajna

College of Liberal Arts and Sciences - Mathematics
Courtesy Professor, Music
Primary office:
Snow Hall, room #512
University of Kansas
1460 Jayhawk Boulevard
Lawrence, KS 66045

  • Algebraic Geometry


Ph.D., Mathematics, Brandeis University


My research interests are in Algebraic Geometry and topology of Algebraic Varieties. Recently, my work with Francisco Gallego and Miguel Gonzalez has concentrated on deformation theory of varieties of general type and their moduli spaces, construction of new surfaces of general type with birational canonical map, and classification problems of extremal varieties of general type in all dimensions. Also with Gurjar in recent years, I have worked on topology of algebraic varieties; computing fundamental groups of fibered complex algebraic surfaces of general type with a finite group of automorphisms and its applications. Applications include answering a conjecture of Shafarevich on holomorphic convexity for these families of surfaces with a large moduli, Nori's question on fundamental groups and questions on second homotopy group. I also work on linear series and syzygies of varieties of general type, a passion that can be traced back to my thesis days. Two of my students Jayan Mukerjee and Debaditya Raychaudary have very interesting new results in this topic of syzygies.

Research Interests

Algebraic Geometry

  • Geometry and topology of varieties of general type
  • Degenerations and moduli of algebraic varieties
  • Koszul cohomology and syzygies of algebraic varieties

Events Calendar

Using Math

CTE course transformation grant helps Emily Witt, assistant professor of math, develop active learning with student groups in calculus.  Positive results using modules developed with Justin Lyle and Amanda Wilkens, math graduate students, were attained.  Read more

Math and COVID-19: Sources on how math is being used to track the virus and its spread.  AMS link.

A mathematician-musician's breakthrough melds East, West. Read more.

Researcher's innovative approach to flood mapping support emergency management and water officials. Read more.

Nicole Johnson found a way to express her baton twirling using math. See video.