~Curriculum Vitae~

(also available in PDF format)

Stanislav Jabuka
Department of Mathematics & Statistics, 084    
University of Nevada Reno
Tel. (775) 784-6816
Email: jabuka@unr.edu

 

EDUCATION  
    
July 2009 - Present University of Nevada Reno - Associate Professor
July 2005 - June 2009 University of Nevada Reno - Assistant Professor
July 2004 - June 2005 Columbia University - Ritt Assistant Professor
July 2002 - June 2004 Columbia University - VIGRE Assistant Professor
August 1995 - June 2002 Michigan State University - Ph. D.
October 1990 - November 1993 University of Zagreb, Croatia - Bachelor of Science
    
    
AWARDS
 
July 2007 - June 2010 Research Grant DMS 0709625 from the National Science Foundation.
July 2006 - December 2007 Junior Faculty Research Grant from UNR.
July 2002 - June 2004 VIGRE postdoctoral fellow at Columbia University.
June 2001- August 2001 Graham Fellowship Grant from Michigan State University
January - May 1999 Dissertation Completion Fellowship from the College of Natural Science, MSU.
  
  
PUBLICATIONS AND PREPRINTS
  
1. Grafting Seiberg-Witten monopoles, Algebr. Geom. Topol. 3 (2003), 155-185
2. Dolbeaultova kohomologija na simplektičnim 4-mnogostrukostima, Proceedings of the conference held in Ljubljana in June 2003 to mark the 30-th anniversary of the joint topological seminar Zagreb-Ljubljana.
3. Symplectic surfaces and generic J-holomorphic structures on four-manifolds, Illinois J. Math 48 (2004), no. 2, 675-685
4. Heegaard Floer homology of certain mapping tori (joint with Thomas Mark), Algebr. Geom. Topol. 4 (2004), 685-719
5. Heegaard Floer homology of mapping tori II, (joint with Thomas Mark), Geometry and topology of manifolds, 119-135, Fields Inst. Commun., 47, Amer. Math. Soc., Providence, RI, 2005.
6. Torsion in Heegaard Floer homology, (joint with Thomas Mark), Oberwolfach Rep. 35 (2006), 28-31. 
7. Order in the concordance group and Heegaard Floer homology, (joint with Swatee Naik), Geom. Topol. 11 (2007), 979-994.
8. Heegaard Floer homology and knot concordance: A survey of recent advances, Glas. Mat. Ser. III, 42, no. 1 (2007), 237-256.
9. On the Heegaard Floer homology of a surface times a circle, (joint with Thomas Mark), Adv. Math. 218, no. 3 (2008), 728-761.
10. Product formulae for Ozsváth-Szabó 4-manifold invariants, (joint with Thomas Mark), Accepted for publication at Geom. Topol.
11. The slice-ribbon conjecture for 3-stranded pretzel knots, (joint with Josh Greene), Preprint 2007.
   
      
RECENT INVITED TALKS 
    
   2007 Conference talk at the University of Kyoto, Japan.
Topology seminar at UC Berkeley
Topology seminar at Princeton University
Topology seminar at the University of Minnesota
Conference talk at BIRS in Banff, Canada
Conference talk at AMS national meeting in New Orleans, LA
     
   2006 Conference talk at the University of Utah
Conference talk at MFI, Oberwolfach, Germany
Colloquium talk at Boise State University
Conference talk at Florida International University
Colloquium talk at Southeastern Louisiana University
    
    
RECENT CONFERENCES AND SUMMER SCHOOLS ATTENDED
   
   2007 Conference on Topology and its applications, Kyoto, Japan
Geometry and Topology in low dimensions, Banff, Canada
AMS national meeting, New Orleans, LA
  
   2006 Conference in honor of Ron Fintushel's 60th birthday, Tulane University, LA
AMS sectional meeting at the University of Utah, UT.
Four manifolds at MFI, Oberwolfach, Germany. 
AMS sectional meeting at Florida International University, FL.
 
   2005 Holomorphic curves workshop at the IAS, Princeton, NJ.
Conference in honor of Joan Birman, Columbia University, NY.
 
   2004 Georgia Topology conference, Athens, GA. 
Clay Mathematics Institute summer school on Floer homology, gauge theory and low dimensional topology, Budapest, Hungary.
Conference on Geometry and topology of manifolds, McMaster University, Hamilton, Canada. 
 
 
TEACHING EXPERIENCE 
    
   1994 - 1995 University of Zagreb, Croatia - Graduate Assistant. Taught recitations for the courses "Differential Equations", "Finite dimensional vector spaces", "Set Theory" and the programming language "Pascal". Class sizes varied from 20 to 150. Prepared and administered written exams.
   1995 - 2002 Michigan State University - Graduate Assistant. I taught recitations for
the course "College Algebra and Trigonometry" and the in the role of lecturer taught "Intermediate Algebra", "College Algebra", "Survey of Calculus with Applications 1, 2" and "Mathematical Investigations 1, 2". Created syllabi, exams, quizzes, lectured and administered grades. I worked two semesters as a math-help room supervisor.
   2002 - 2005 Columbia University - Assistant professor. Courses taught: "Calculus sequence", "Linear Algebra", "Topology", "Introduction to differentiable manifolds", "Ordinary differential equations".
   2005 - Present University of Nevada Reno - Assistant Professor. Courses taught: "Calculus 3", "Linear algebra 1 and 2", "Euclidean and non-Euclidean geometry", "Topology", "Differential topology", "Differential geometry", "Analysis 1 and 2". 
  
  
RESEARCH INTEREST
  
My research interests are in the topology of 3 and 4 dimensional manifolds and classical knot theory. My primary emphasis as a graduate student was on Seiberg-Witten gauge theory on symplectic 4-manifolds and its relation to Gromov-Witten theory.
I have since shifted my attention to Heegaard Floer theory and applied it successfully to questions about 3 and 4 manifolds (joint work with Thomas Mark) and open problems about knot concordance (joint work with Swatee Naik and Josh Greene).