Persons: Melikhov, Sergey Aleksandrovich

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Melikhov, Sergey Aleksandrovich

Total publications:	38 (38)
in MathSciNet:	15 (15)
in zbMATH:	14 (14)
in Web of Science:	15 (15)
in Scopus:	15 (15)
Cited articles:	12
Citations in Math-Net.Ru:	42
Citations in MathSciNet:	59
Citations in Web of Science:	27
Citations in Scopus:	28
Presentations:	36

Number of views:
This page:	4895
Abstract pages:	3036
Full texts:	1059
References:	356

Senior Researcher

Candidate of physico-mathematical sciences (2004)

Speciality:

01.01.04 (Geometry and topology)

E-mail:

UDC:

515.162, 515.163, 515.164, 515.123.4, 515.125, 515.142.26, 515.148

MSC:

57M, 57N, 57Q

Subject:

Geometric Topology (embedding theory, links modulo knots, combinatorial topology and its foundations, resolution of singularities)
Algebraic Topology of metrizable spaces and 0-dimensional groups
Foundations of Mathematics (homotopy type theory, conservative extensions of intuitionistic logic, semantics of the meta-logic of first-order logics)

Biography

Graduated from Lomonosov Moscow State University (2001) and from a math class at Moscow State 57th School (1996).
Ph.D. from University of Florida (2005) and another Ph.D. (k.f.-m.n.) from Steklov Math. Institute (2004); the two dissertations have no overlap in content.
From 2005: Research Fellow at Steklov Math. Institute, Moscow (Senior R.F. from 2008). Held visiting positions at The University of Tennessee (2007–08), Dartmouth College (Fall 2012), Institute for Advanced Study (2013).
Awards include: Möbuis Contest Prize of the Independent University of Moscow (2000) and Russian Academy of Sciences Medal for Young Scientists (2006).

Main publications:

S. A. Melikhov, “Steenrod homotopy”, Russian Math. Surveys, 64 (2009), 469–551, arXiv: 0812.1407
S. A. Melikhov, “The van Kampen obstruction and its relatives”, Proc. Steklov Inst. Math., 266 (2009), 142–176, arXiv: math.GT/0612082
S. A. Melikhov, D. Repovš, “$n$-Quasi-isotopy. I. Questions of nilpotence”, J. Knot Theory Ramifications, 14:5 (2005), 571–602, arXiv: math.GT/0103113
S. A. Melikhov, “Sphere eversions and realization of mappings”, Proc. Steklov Inst. Math., 247 (2004), 143–163, arXiv: math.GT/0305158

http://www.mathnet.ru/eng/person9152

https://scholar.google.com/citations?user=xQpf2SEAAAAJ&hl=en

https://zbmath.org/authors/?q=ai:melikhov.sergey-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/666677

https://elibrary.ru/author_items.asp?authorid=14016

http://orcid.org/0000-0001-6833-8292

http://www.researcherid.com/rid/Q-4828-2016

https://www.scopus.com/authid/detail.url?authorId=7004334864

https://www.researchgate.net/profile/Sergey_Melikhov

https://arxiv.org/a/melikhov_s_1

Full list of publications:

scientific publications

by years

by types

by times cited in WoS

by times cited in Scopus

common list



2021
1.	S. A. Melikhov, “Topological isotopy and Cochran’s derived invariants”, Topology, Geometry, and Dynamics: Rokhlin Memorial (St.-Petersburg, August 19–23, 2019), Contemporary Mathematics, 772, eds. V.M. Buchstaber, A.V. Malyutin, T.E. Panov, A.M. Vershik, Amer. Math. Soc., Providence, RI, 2021, 17pp. (to appear) arXiv: 2011.01409

2020
2.	S. A. Melikhov, Lifting generic maps to embeddings: II. The double point obstruction, 2020 , 23 pp., arXiv: 1711.03518v5
3.	S. A. Melikhov, “A triple-point Whitney trick”, J. Topol. Anal., 12:4 (2020), 1041–1046
4.	S. A. Melikhov, Lifting generic maps to embeddings. I: Triangulation and smoothing, 2020 , 28 pp., arXiv: 2011.01402
5.	Peter M. Akhmetiev, Sergey A. Melikhov, “Projected and near-projected embeddings”, Zap. Nauchn. Sem. POMI, 498, 2020, 75–104

2019
6.	S. A. Melikhov, “A note on O. Frolkina`s paper “Pairwise disjoint Moebius bands in space””, J. Knot Theory Ramif., 28:7 (2019), 1971001 , 3 pp., arXiv: 1810.04089

2018
7.	S. Melikhov, Infinite-dimensional uniform polyhedra, 2018 , 43 pp., arXiv: 1109.0346v3
8.	S. Melikhov, Metrizable uniform spaces, 2018 , 93 pp., arXiv: 1106.3249v5
9.	S. Melikhov, Combinatorics of combinatorial topology, 2018 , 72 pp., arXiv: 1208.6309v2
10.	S. A. Melikhov, A Galois connection between classical and intuitionistic logics. II: Semantics, 2018 , 35 pp., arXiv: 1504.03379v4
11.	S. A. Melikhov, “Immersions of the circle into a surface”, Sb. Math., 209:4 (2018), 503–518
12.	S. A. Melikhov, Algebraic topology of Polish spaces: I. Fine shape, 2018 , 20 pp., arXiv: 1808.10228
13.	S. A. Melikhov, Algebraic topology of Polish spaces. II: Axiomatic homology, 2018 , 24 pp., arXiv: 1808.10243
14.	S. A. Melikhov, Lim colim versus colim lim. I, 2018 , 44 pp., arXiv: 1809.00023
15.	S. A. Melikhov, Lim colim versus colim lim. II: Derived limits over a pospace, 2018 , 30 pp., arXiv: 1809.00022
16.	S. A. Melikhov, “Self $C_2$-equivalence of two-component links and invariants of link maps”, J. Knot. Theory Ram., 27:13 (2018), 1842012 , 22 pp., arXiv: 1711.03514 (cited: 1) (cited: 1)

2017
17.	S. A. Melikhov, A Galois connection between classical and intuitionistic logics. I: Syntax, 2017 , 47 pp., arXiv: 1312.2575v4
18.	S. A. Melikhov, Mathematical semantics of intuitionistic logic, 2017 , 179 pp., arXiv: 1504.03380v3
19.	S. A. Melikhov, “Topologiya dokazatelstv”, Konkurs Mëbiusa glazami ego pobeditelei, MTsNMO, Moskva, 2017, 28–33 www.mccme.ru/free-books/moebius20.pdf

2015
20.	S. A. Melikhov, “Transverse Fundamental Group and Projected Embeddings”, Proc. Steklov Inst. Math., 290 (2015), 155–165 , arXiv: 1505.00505

2013
21.	S. Melikhov, J. Zaja̧c, “Contractible polyhedra in products of trees and absolute retracts in products of dendrites”, Proc. Amer. Math. Soc., 141:7 (2013), 2519–2535 , arXiv: 1102.0696

2011
22.	S. A. Melikhov, Combinatorics of embeddings, 2011 , 49 pp., arXiv: 1103.5457

2009
23.	S. A. Melikhov, “Steenrod homotopy”, Russian Math. Surveys, 64:3 (2009), 469–551 , arXiv: 0812.1407 (cited: 6) (cited: 5) (cited: 5) (cited: 6)
24.	S. A. Melikhov, “The van Kampen Obstruction and Its Relatives”, Proc. Steklov Inst. Math., 266 (2009), 142–176 , arXiv: math.GT/0612082 (cited: 7) (cited: 4) (cited: 4) (cited: 6)

2007
25.	S. A. Melikhov, Gauss-type formulas for link map invariants, 2007 , 21 pp., arXiv: 1711.03530

2006
26.	S. A. Melikhov, E. V. Shchepin, The telescope approach to embeddability of compacta, 2006 , 26 pp., arXiv: math.GT/0612085

2005
27.	S. A. Melikhov, D. Repovš, “$n$-Quasi-isotopy. II. Comparison”, J. Knot Theory Ramifications, 14:5 (2005), 603–626 , arXiv: math.GT/0103114
28.	S. A. Melikhov, D. Repovš, “$n$-Quasi-isotopy. I. Questions of nilpotence”, J. Knot Theory Ramifications, 14:5 (2005), 571–602 , arXiv: math.GT/0103113 (cited: 2) (cited: 1) (cited: 4)

2004
29.	S. A. Melikhov, “On isotopic realizability of maps factored through a hyperplane”, Sb. Math., 195:8 (2004), 1117–1163 (cited: 1) (cited: 1) (cited: 1)
30.	S. A. Melikhov, “Isotopic and continuous realizability of maps in the metastable range”, Sb. Math., 195:7 (2004), 983–1016 (cited: 3) (cited: 4) (cited: 3)
31.	S. A. Melikhov, “Sphere Eversions and Realization of Mappings”, Proc. Steklov Inst. Math., 247 (2004), 143–163 , arXiv: math.GT/0305158

2003
32.	S. A. Melikhov, R. V. Mikhailov, n-quasi-isotopy: III. Engel conditions, 2003 , 24 pp., arXiv: math.GT/0201022v4
33.	S. A. Melikhov, Colored finite type invariants and a multi-variable analogue of the Conway polynomial, 2003 , 23 pp., arXiv: math.GT/0312007

2002
34.	S. A. Melikhov, “On maps with unstable singularities”, Topology Appl., 120:1–2 (2002), 105–156 , arXiv: math.GT/0101047 (cited: 4) (cited: 4) (cited: 5)

2001
35.	S. A. Melikhov, R. V. Mikhailov, “Links modulo knots and the isotopic realization problem”, Russian Math. Surveys, 56:2 (2001), 414–415 (cited: 1) (cited: 1)

2000
36.	S. A. Melikhov, “Pseudohomotopy implies homotopy for singular links of codimension $\geqslant 3$”, Russian Math. Surveys, 55:3 (2000), 589–590 (cited: 2) (cited: 1)

2003
37.	P. M. Akhmet'ev, S. A. Melikhov, “On isotopic realizability of continuous mappings”, J. Math. Sci. (N. Y.), 113:6 (2003), 759–776

1998
38.	S. A. Melikhov, Singular link concordance implies link homotopy in codimension $\ge 3$, 1998 , 12 pp., arXiv: 1810.08299

Presentations in Math-Net.Ru

1.	Metric polyhedra and projective cubes S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar February 18, 2020 16:45
2.	Injective metric and cubical collapsing S. A. Melikhov Geometric Topology Seminar October 16, 2019 17:00
3.	Cubical collapsing and injective metric S. A. Melikhov Geometric Topology Seminar October 9, 2019 17:00
4.	Link maps in $S^4$ and their applications to links in $S^3$ S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar September 17, 2019 16:45
5.	Is every knot isotopic to the unknot? S. A. Melikhov Geometric Topology Seminar September 11, 2019 17:00
6.	Brunnian link maps in the 4-sphere and Goussarov-Habiro moves on links in the 3-sphere S. A. Melikhov Geometric Topology Seminar May 21, 2019 16:00
7.	Brunnian link maps in the 4-sphere and the Chinese Rings puzzle S. A. Melikhov Geometric Topology Seminar December 17, 2018 15:30
8.	Corrected derived limits, or How to expel set theory from algebraic topology (part II) S. A. Melikhov Geometric Topology Seminar October 1, 2018 15:30
9.	Functors lim^p and algebraic topology of separable metric spaces S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar September 25, 2018 16:45
10.	Corrected derived limits, or How to expel set theory from algebraic topology S. A. Melikhov Geometric Topology Seminar September 24, 2018 15:30
11.	Lim colim versus colim lim Sergey A. Melikhov International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday May 24, 2018 17:00
12.	Lim colim versus colim lim S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar April 24, 2018 16:45
13.	Limit of colimits versus colimit of limits II S. A. Melikhov Geometric Topology Seminar April 12, 2018 14:00
14.	Limit of colimits versus colimit of limits S. A. Melikhov Geometric Topology Seminar April 5, 2018 14:00
15.	Projected embeddings and approximation of maps by embeddings S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar November 28, 2017 16:45
16.	Projected embeddings for PL and smooth maps S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar November 7, 2017 16:45
17.	Projected embeddings S. A. Melikhov Geometric Topology Seminar October 26, 2017 14:00
18.	Kolmogorov's interpretation and a formal semantics of the meta-logic of intuitionistic logic S. Melikhov Workshop on Proof Theory, Modal Logic and Reflection Principles October 17, 2017 17:15
19.	On $\Delta$-link homotopy Yuka Kotorii, S. A. Melikhov Geometric Topology Seminar August 31, 2017 17:00
20.	Тонкий шейп и теоремы единственности для гомологий и когомологий польского пространства S. A. Melikhov Geometric Topology Seminar August 10, 2017 14:00
21.	$\Delta$-link homotopy of links in $S^3$ and invariants of link maps in $S^4$ S. A. Melikhov Geometric Topology Seminar July 20, 2017 15:00
22.	Семантика металогики. (Часть 2) S. A. Melikhov Seminars "Proof Theory" and "Logic Online Seminar" March 6, 2017 18:30
23.	Семантика металогики. (Часть 1) S. A. Melikhov Seminars "Proof Theory" and "Logic Online Seminar" February 27, 2017 18:30
24.	Формальная металогика логик первого порядка и её формальная семантика S. A. Melikhov Seminars "Proof Theory" and "Logic Online Seminar" May 16, 2016
25.	О независимых принципах в совместной логике задач и высказываний. Часть 2 S. A. Melikhov Seminars "Proof Theory" and "Logic Online Seminar" October 5, 2015 18:30
26.	О независимых принципах в совместной логике задач и высказываний. Часть 1 S. A. Melikhov Seminars "Proof Theory" and "Logic Online Seminar" September 28, 2015 18:30
27.	A joint logic of problems and propositions S. A. Melikhov "Algorithmic problems in algebra and logic" (S.I.Adian seminar) March 4, 2014 18:30
28.	A joint logic of problems and propositions S. A. Melikhov "Algorithmic problems in algebra and logic" (S.I.Adian seminar) February 25, 2014 18:30
29.	A problem of Kolmogorov, and sheaves S. A. Melikhov Geometric Topology Seminar October 22, 2013 15:00
30.	On topology of solutions of problems S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar October 1, 2013 16:45
31.	Combinatorics of collapsible polyhedra and maps S. A. Melikhov Geometric Topology Seminar April 17, 2012 15:00
32.	On geometry of the index $8$ subgroup of the third stable stem S. A. Melikhov Geometric Topology Seminar November 1, 2011 15:30
33.	Uniform polyhedra S. A. Melikhov Geometric Topology Seminar July 21, 2011 14:30
34.	Uniform polyhedra S. A. Melikhov Geometric Topology Seminar June 15, 2011 18:00
35.	The combinatorial viewpoint in algebraic K-theory of spaces S. A. Melikhov Geometric Topology Seminar April 19, 2011 15:00
36.	Combinatorial metods in theory of embeddings S. A. Melikhov Knots and Representation Theory April 5, 2011 18:30

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