Stanislav Jabuka

1. Stanislav Jabuka, "The concordance crosscap number and rational Witt span of a knot", Pacific Journal of Mathematics, Vol. 318, No. 2 (2022).  Also available at arXiv:2012.14801.  

2. Stanislav Jabuka, Beibei Liu and Allison Moore, "Knot graphs and Gromov Hyperbolicity", Math. Z. 301, 811–834 (2022). Also available at arXiv:1912.03766.

3. Taran Grove and Stanislav Jabuka, "On the periodic non-orientable 4-genus of a knot", Journal of Knot Theory and its Ramifications, Vol. 30, No. 08, 2150061 (2021). Available at arXiv:2106.16195. 

4. Stanislav Jabuka, "Periodic spanning surfaces of periodic knots", New York J. Math, Vol. 27 (2021), 1439-1442. Also available at arXiv:2101.04668.

5. Stanislav Jabuka and Cornelia Van Cott, "On a nonorientable analogue of the Milnor Conjecture", Algebraic and Geometric Topology, 21 (2021) 2571–2625. Also available at arXiv:1809.01779. 

6. Stanislav Jabuka and Cornelia Van Cott, "Comparing nonorientable three genus and nonorientable four genus for torus knots", Journal of Knot Theory and its Ramifications, Vol. 29, No. 3, 2050013 (2020). Also available at arXiv:1907.12970. 

7. Stanislav Jabuka and Tynan Kelly, "The nonorientable 4-genus for knots with 8 or 9 crossings", Algebraic and Geometric Topology, 18 (2018), no. 3, 1823-1856. Also available at arXiv:1708.03000.

8. Stanislav Jabuka, “Heegaard Floer groups of Dehn surgeries”, Journal of the London Mathematical Society (2015) 92 (3): 499-519. Also available at arXiv:1409.6236.

9. Stanislav Jabuka and Swatee Naik, “Periodic knots and Heegaard Floer correction terms”, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 8, 1651-1674. Also available at arXiv:1307.5116.

10. Stanislav Jabuka, "The signature of an even symmetric form with vanishing associated linking form", Preprint (2012), arXiv:1204.4965.

11. Stanislav Jabuka, “Heegaard Floer genus bounds for Dehn surgeries on knots”, Journal of Topology 7 (2014), No. 2, pp 523-542. Also available at arXiv:1202.4412.

12. Stanislav Jabuka and Swatee Naik, "Self-diffeomorphisms of three-manifolds and Heegaard Floer homology", Preprint (2014). 

13. Stanislav Jabuka, Sinai Robins and Xinli Wang, “Heegaard Floer correction terms and Dedekind-Rademacher sums”, International Mathematics Research Notices, IMRN  (2013), No. 1, pp 170-183.  Also available at arXiv:1105.4397.

14. Stanislav Jabuka, Sinai Robins and Xinli Wang, “When are two Dedekind sums equal?", International Journal of Number Theory 7 (2011), No. 8, pp 2197-2202. Also available at arXiv:1103.0370.

15. Michael Gallaspy and Stanislav Jabuka, “The Goeritz matrix and signature of two bridge knots”, Rocky Mountain Journal of Mathematics, Volume 45, Number 4 (2015), 1119-1145. Also available at arXiv:0910.2872.`

16. Stanislav Jabuka, "The rational Witt class and the unknotting number of a knot", Preprint (2009), arXiv:0907.2275.

17. Stanislav Jabuka, “Concordance invariants from higher order covers”, Topology and its Applications 159 (2012), No. 10-11, pp 2694-2710. Also available at arXiv:0809.1088. 

18. Stanislav Jabuka, “Rational Witt classes of pretzel knots”, Osaka Journal of Mathematics 47 (2010), No. 4,  pp 977-1027. Also available at arXiv:0806.3245.

19. Joshua E. Greene and Stanislav Jabuka, “The Slice-Ribbon Conjecture for 3-stranded pretzel knots”, American Journal of Mathematics 133 (2011), No. 3, pp 555-580. Also available at arXiv:0706.3398.

20. Stanislav Jabuka and Thomas E. Mark, “Product formulae for Ozsvath-Szabo 4-manifold invariants”, Geometry & Topology 12 (2008), No. 3, pp 1557-1651. Also available at arXiv:0706.0339.

21. Stanislav Jabuka, “Heegaard Floer homology and knot concordance: A survey of recent advances”, Glasnik Matematicki Series III, 42 (2007), No. 1, pp 237-256. 

22. Stanislav Jabuka and Swatee Naik, “Order in the concordance group and Heegaard Floer homology”, Geometry & Topology 11 (2007), pp 979-994. Also available at arXiv:math/0611023.

23. Stanislav Jabuka and Thomas E. Mark, “On the Heegaard Floer homology of a surface times a circle”, Advances in Mathematics 218 (2008), No. 3, pp 728-761. Also available at arXiv:math/0502328.

24. Stanislav Jabuka and Thomas E. Mark, “Heegaard Floer homology of mapping tori II”, Geometry and topology of manifolds, pp 119-135, Fields Inst. Commun., 47, Amer. Math. Soc., Providence, RI, 2005. Available at arXiv:math/0410005.

25. Stanislav Jabuka and Thomas E. Mark, “Heegaard Floer homology of certain mapping tori”, Algebraic and Geometric Topology 4 (2004), 685-719.  Also available at arXiv:math/0405314.

26. Stanislav Jabuka, “Symplectic surfaces and generic J-holomorphic structures on 4-manifolds”, Illinois Journal of Mathematics 48 (2004), no. 2, 675-685. Also available at arXiv:math/0207052.

27. Stanislav Jabuka, “Grafting Seiberg-Witten monopoles”, (Ph.D. Thesis - Michigan State University), Algebraic and Geometric Topology 3 (2003), 155-185. Also available at arXiv:math/0110285.

• Taran Grove
  Graduated with an "MS in Mathematics" in 2022. His masters thesis titled "On the periodic non-orientable 4-genus of a knot" is published in the Journal of Knot Theory and its Ramifications, jointly with his Advisor.  It is also available on the arXiv:2106.16195.

• Eliza Grifall-Sabo
  Masters student since the fall of 2020. She is working on the classification problem of extended Frobenius algebras. 

• Nakisa Ghanbarian
  PhD student since the spring of 2020, working in low-dimensional topology. She has computed "The non-orientable 4-genus for knots with 10 crossing", available on the arXiv:2011.03480, and in the Journal of Knot Theory and its Ramifications. 

• Divya Nair
  Graduated with the degree of "MS in Mathematics" in 2012. Her masters thesis is titled "Applications of combinatorial knot Floer homology". 

• Tynan Kelly
  Graduated with the degree of "MS in Mathematics" in 2010. His masters thesis is titled "Rational Witt classes of 4-stranded pretzel knots".

• Jeffrey Meier
  Graduated with the degree of "MS in Mathematics" in 2009. His masters thesis is titled "A recursive formula for the Khovanov cohomology of a family of 3-stranded pretzel knots".

• Luke Williams
  Graduated with the degree of "MS in Mathematics" in 2008. His masters thesis is titled "Obstructing sliceness in a family of Montesinos knots", arXiv:0809.1247.

Spring 2024

• MATH 745, Riemannian Geometry

• STAT 780, Statistical Learning
  
  

Fall 2023

• MATH 444/644, Introduction to Knot Theory

• MATH 331, Groups, Rings, Fields
  
  

Fall 2021

• MATH 731, Modern Algebra 1

Spring 2021

• MATH 310, Introduction to Analysis 1

• MATH 714, Abstract and Real Analysis 2

Fall 2020

• MATH 713, Abstract and Real Analysis 1

Spring 2020

• MATH 330, Linear Algebra

• MATH 745, Riemannian Geometry