Headshot of Ivan S. Gotchev.
Link
Professor
Mathematical Sciences
Contact
(860) 832-2839
gotchevi@ccsu.edu
Office
Marcus White Hall
111
Monday
1:30 pm - 2:30 pm
6:00 pm - 6:50 pm
Wednesday
1:30 pm - 2:30 pm
6:00 pm - 6:50 pm
Friday
1:30 pm - 2:50 pm
Or by appointment
Education
Mathematics/Topology
Sofia University, Sofia, Bulgaria
1989
Mathematics/Topology
Sofia University, Sofia, Bulgaria
1984
Mathematics and Computer Science
Sofia University, Sofia, Bulgaria
1982
Areas of Expertise
  1. General, Categorical, and Geometric Topology and their Applications
    Product spaces; continuous extensions of functions defined on subspaces of product spaces; cardinal invariants; covering properties; compact, pseudocompact, countable compact and sequentially compact spaces; closure operators; P-minimal and P-closed spaces; sequential convergence; sequential spaces; extensions of topological spaces; supertopological spaces; neighborhood spaces; separation axioms; proximities; Noetherian spaces; applications of topology in number theory and geographic information systems.
  2. Graph Theory
    Hamiltonian graphs
Publications, Research & Presentations

  • Publications in peer-reviewed journals

    1. ,  80 (1986), no. 1, 31 – 43
    2. Sequentially closed and absolutely closed spaces,  B(7) 1 (1987), no. 3, 849 – 860
      Co-author: D. Dikranjan
    3. Topological spaces with no compactly determined extensions, , Sunny Beach, Bulgaria, April 6-9, (1988), 151 – 155
    4. ,  20 (1988), no. 1, 1 – 17
    5. ,  28 (2004), No. 2, 487 – 501
      Co-author: H. Minchev
    6. ,  64 (2006), No. 3, 509 – 515
      Co-authors:  and L. Recoder-Núñez
    7. ,  155 (2008), No. 17-18, 2188 – 2195
      Co-authors:  and L. Recoder-Núñez
    8. ,  9 (2008), No. 2, 263 – 280
      Co-authors:  and L. Recoder-Núñez
    9. ,  69 (2009), No. 3, 363 – 377
      Co-author:
    10. ,  156 (2009), No. 16, 2600 – 2608
      Co-author:
    11. On two conjectures about faulty hypercubes,  LVII (2009), 34 – 38
      Co-authors: N. Castañeda, , F. Latour
    12. Path coverings with prescribed ends of the n-dimensional binary hypercube, Congr. Numer. 197 (2009), 193 – 205
      Co-authors: N. Castañeda, , F. Latour
    13. Hamiltonian laceability of hypercubes with faults of charge one, Congr. Numer. 198 (2009), 15 – 30
      Co-authors: N. Castañeda, , F. Latour
    14. On k-semi-perfect 1-factorizations of Qn and Craft's conjecture,  LVIII (2010), 36 – 41
      Co-author: 
    15. On path coverings of hypercubes with one faulty vertex,  LVIII (2010), 42 – 47
      Co-authors: N. Castañeda, , F. Latour
    16. ,  20 (2010), No. 3, 224 – 248
      Co-author: N. Castañeda
    17. ,  158 (2011), No. 6, 748 – 760
      Co-authors:  and 
    18. ,  159 (2012), No. 9, 2331 – 2337
      Co-author:
    19. ,  42 (2013), 209 – 219
      Co-authors: and D. Rivers
    20. ,  44 (2014), 249 – 256
    21. ,  31 (2015), 833 – 869
      Co-author: N. Castañeda
    22. ,  149 (2016), No. 2, 324 – 337
      Co-authors:  and 
    23. ,  516 (2016), 1 – 41
      Co-author:
    24. ,  43 (2017), No. 1, 223 – 235
    25. ,  221 (2017), 425 – 431
    26. ,  6 (2017), No. 2, 345 – 371
      Co-author: N. Castañeda
    27. ,  44 (2018), 195 – 212
    28. ,  44 (2018), 227 – 242
      Co-author: L. KoÄinac
    29. ,  259 (2019), 80 – 89
    30. ,  159 (2019), No. 1, 229 – 245
    31. , 29 (2022), no. 3, 389 – 403
      Co-author:
    32. , 46 (2023), no. 4, 745 – 760
      Co-authors:   and 
    33. , , 338 (2023), Article 108651 (8 pages)
    34. ,  118 (2024), no. 1, Article 26 (17 pages)
      Co-authors:   and 
    35. , , 377 (2026), Article 109643 (12 pages)

     Work in Progress

    1.  Proof of Locke's conjecture, II (preprint).
      Co-authors: N. Castañeda, , F. Latour
    2. On the infinitude of prime divisors of the range of a non-constant polynomial (preprint).
Memberships & Affiliations

American Mathematical Society (AMS)

Mathematical Association of America (MAA)

Courses Taught

Spring 2026

MWF 10:50 am - 12:00 pm - , EDB 205

MWF 12:15 pm - 1:25 pm - , EDB 205

MW 6:55 pm - 8:35 pm - , MS 321

Calculus II

Calculus II

Calculus II

Calculus II

General Topology

General Topology

Office Hours Spring 2026 in MW 111

MW 6:00 pm – 6:50 pm, MW 1:30 pm – 2:30 pm, F 1:30 pm – 2:50 pm, 

or by appointment