Study programme - Approved
Academic year:
 2021/2022
Study programme:
 Geometry and Topology (dGTL/x)
(Single degree study, Ph.D. III. deg., external form)
Teaching languages: English, Slovak
Study field:
 22. Mathematics
Guarantor:
 prof. RNDr. Július Korbaš, CSc.

Study section
Compulsory courses

Block: Obligatory Subjects
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-101/10  Individual Study of Science and Research Resources (1) - FMFI.KAG, tutor 1/W    10IW   10    
 3-MGT-102/10  Individual Study of Science and Research Resources (2) - FMFI.KAG, tutor 1/S    10IW   10    
 3-MGT-103/10  Individual Study of Science and Research Resources (3) - FMFI.KAG, tutor 2/W    10IW   10    
 3-MGT-104/10  Individual Study of Science and Research Resources (4) - FMFI.KAG, tutor 2/S    10IW   10    
 
Compulsory elective courses

Block: Obligatory-Optional Subjects min. 30 credits
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-012/00  Algebraic Topology (1) - J. Korbaš, T. Macko 1/W    4L   10    
 3-MGT-008/00  Commutative Algebra - P. Chalmovianský 1/W    4L   10    
 3-MGT-024/10  Contemporary Geometric Modeling - P. Chalmovianský 1/W    4L   10    
 3-MGT-030/10  General Topology - J. Korbaš, T. Macko 1/W    4L   10    
 3-MGT-021/10  Fundamentals of Geometry - Š. Solčan 1/W    2L   7    
 3-MGT-013/00  Algebraic Topology (2) - J. Korbaš, T. Macko 1/S    2L   7    
 3-MGT-016/00  Global Differential Geometry - P. Chalmovianský 1/S    2L   7    
 3-MGT-023/10  Classical Differential Geometry - P. Chalmovianský 1/S    2L   7    
 3-MGT-027/10  Visualisation and Virtual Environments - A. Ferko 1/S    4L   10    
 3-MGT-009/00  Applied Algebraic Geometry - P. Chalmovianský 2/W    2L   7    
 3-MGT-026/10  Machine Vision and Image Processing - A. Ferko 2/W    2L   7    
 3-MGT-031/10  Category Theory - J. Korbaš, T. Macko 2/W    2L   7    
 3-MGT-017/10  Selected Topics in Low-Dimensional Topology - J. Korbaš, M. Niepel 2/W    2L   7    
 3-MGT-014/00  Differential Topology - J. Korbaš, T. Macko 2/S    2L   7    
 3-MGT-002/00  Constructive Applied Geometry - P. Chalmovianský 2/S    2L   7    
 3-MGT-015/00  Lie Groups and Algebras - M. Božek, M. Niepel 2/S    2L   7    
 3-MGT-032/15  Real Algebraic Geometry - P. Chalmovianský 2/S    4L   10    
 3-MGT-025/10  Trends and Applications of Computer Graphics - A. Ferko 2/S    4L   10    
 3-MGT-018/10  Introduction to Symplectic Topology - J. Korbaš, M. Niepel 2/S    2L   7    
 
Elective courses

Block: Electives
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MXX-101/15  Course of English for PhD Studies (1) - A. Zemanová 1/W    2P   5    
 2-MAT-214/09  Differential Topology - J. Korbaš, T. Macko W    2L   4    
 2-MAT-617/09  Category Theory (1) - T. Macko W    2L   3    
 2-MAT-211/15  General Topology - M. Sleziak W    4L   5    
 2-MAT-223/09  Algebraic Topology - J. Korbaš, T. Macko S    4L   6    
 3-MXX-102/15  Course of English for PhD Studies (1) - A. Zemanová 1/S    2P   5    
 2-MAT-122/15  Nonlinear Functional Analysis - M. Fečkan S    2L + 2P   5    
 3-MGT-203/10  Department Seminar - FMFI.KAG, tutor S    2S   5    
 2-MAT-622/09  Category Theory (2) - T. Macko S    2L   3    
 2-MAT-123/15  Calculus of Variations - P. Quittner S    2L + 2P   6    
Predmety magisterského štúdia v tomto bloku sú doplnkové. Doplnkový predmet si môže zapísať iba doktorand, ktorý ho neabsolvoval na nižšom stupni štúdia.
 

Research section

Block: List of Publications
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-301/10  Category A Publication - J. Korbaš, A. Ferko, P. Chalmovianský S      35    
 3-MGT-302/10  Category B Publication - J. Korbaš, A. Ferko, P. Chalmovianský S      25    
 3-MGT-303/10  Category C Publication - J. Korbaš, A. Ferko, P. Chalmovianský S      20    
 3-MGT-304/10  Category D Publication - J. Korbaš, A. Ferko, P. Chalmovianský S      10    
Kredity = 0*xy (tu uvedené číslo), ak podiel doktoranda je xy%.

Block: Active Presentation of Results
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-403/10  Presentation at a Home Conference without International Participation - J. Korbaš, A. Ferko, P. Chalmovianský S      7    
 3-MGT-402/10  Presentation at a Home Scientific Conference with International Participation - J. Korbaš, A. Ferko, P. Chalmovianský S      15    
 3-MGT-401/10  Presentation at a Scientific Conference or Academic Scientific Seminar Abroad - J. Korbaš, A. Ferko, P. Chalmovianský S      20    
 3-MGT-404/10  Presentation at a Department Seminar on Science - J. Korbaš, A. Ferko, P. Chalmovianský S      5    

Block: Dissertation Thesis
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-503/10  Completion of Defined Stage of PhD Research Project (1) - FMFI.KAG, tutor 3/W      10    
 3-MGT-504/10  Completion of Defined Stage of PhD Research Project (2) - FMFI.KAG, tutor 3/S      10    
 3-MGT-505/10  Completion of Defined Stage of PhD Research Project (3) - FMFI.KAG, tutor 4/W      10    

Block: Grants, Responses and Other
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-704/15  Quotation Registered in WoK or SCOPUS - J. Korbaš, A. Ferko, P. Chalmovianský S      4    
 3-MGT-705/10  Quotation in a Monograph - J. Korbaš, A. Ferko, P. Chalmovianský S      4    
 3-MGT-707/10  Quotation in Work with no Foreign Author - J. Korbaš, A. Ferko, P. Chalmovianský S      2    
 3-MGT-706/10  Quotation in Work with at Least One Foreign Author - J. Korbaš, A. Ferko, P. Chalmovianský S      3    
 3-MGT-703/10  Home Project Co-researcher - J. Korbaš, A. Ferko, P. Chalmovianský S      10    
 3-MGT-702/10  International Project Co-researcher - J. Korbaš, A. Ferko, P. Chalmovianský S      15    
 3-MGT-709/10  Development of Novel Software Product Linked with PhD Project - J. Korbaš, A. Ferko, P. Chalmovianský S      7    
 3-MGT-708/10  Introduction of Novel Experimental Method Linked with PhD Project - J. Korbaš, A. Ferko, P. Chalmovianský S      7    
 3-MGT-701/10  Obtaining a University Grant - J. Korbaš, A. Ferko, P. Chalmovianský S      20    

Other activities

Block: Teaching Activities
Výber aspoň 10 kreditov v každom semestri v prvých troch rokoch štúdia.
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Current
 3-MGT-801/15  Teaching Practice in the Winter Semester - FMFI.KAG 1/W      10    
 3-MGT-809/10  Diploma Thesis Guidance - FMFI.KAG, tutor S      4    
 3-MGT-805/10  Participation in a Conference Organising Committee - FMFI.KAG, tutor S      3    
 3-MGT-802/15  Teaching Practice in the Summer Semester - FMFI.KAG 1/S      10    
 3-MGT-806/10  Creation of Teaching Texts and Aids - FMFI.KAG, tutor S      6    
 3-MGT-803/10  BSc Thesis Supervision - FMFI.KAG, tutor S      10    
 3-MGT-804/10  Guidance of a Project Presented at the Students´ Conference - FMFI.KAG, tutor S      10    
 3-MGT-808/10  Writing BSc Thesis Assessment Protocol - FMFI.KAG, tutor S      4    
 3-MGT-807/10  Study Stay Abroad - FMFI.KAG, tutor S      3    
Predmety tohto bloku hodnotí vedúci katedry.

State exams
Compulsory courses

Block: State Examination
Subject code Subject title Credits Current
 3-MGT-950/15  Dissertation Examination 20    
 3-MGT-990/15  Dissertation Thesis Defense 30    
 

Such a symbol can occur after the teaching range: d - days in a semester, h - hours in a week, s - hours in a semester, t - weeks in a semester
When none of these symbols are given, expected range of teaching is "hours in a week".
Form: L - lecture, P - practicals, S - seminar, C - course, LP - laboratory practicals, X - practice, IW - independent work, E - excursion, O - other, p - practical, TS - training session, FW - fieldwork, I - internship