Persons: Melikhov Sergey Aleksandrovich

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Melikhov Sergey Aleksandrovich

Total publications:	34 (34)
in MathSciNet:	12 (12)
in zbMATH:	12 (12)
in Web of Science:	12 (12)
in Scopus:	12 (12)
Cited articles:	11
Citations in Math-Net.Ru:	40
Citations in Web of Science:	23
Citations in Scopus:	25
Presentations:	29

Number of views:
This page:	3212
Abstract pages:	2159
Full texts:	560
References:	259

Senior Researcher

Candidate of physico-mathematical sciences (2004)

Speciality:

01.01.04 (Geometry and topology)

Phone:

+7 (495) 984 81 41 * 37 87

Fax:

+7 (499) 135 05 55

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

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

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

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

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

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

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

http://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:

by years

by types

by times cited

by times cited in WoS

by times cited in Scopus

scientific publications

common list


1.	S. A. Melikhov, “A note on O. Frolkina`s paper “Pairwise disjoint Moebius bands in space””, J. Knot Theory Ram. (to appear) , 2 pp., arXiv: 1810.04089

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

2017
11.	S. A. Melikhov, A Galois connection between classical and intuitionistic logics. I: Syntax, 2017 , 47 pp., arXiv: 1312.2575v4
12.	S. A. Melikhov, Mathematical semantics of intuitionistic logic, 2017 , 179 pp., arXiv: 1504.03380v3
13.	S. A. Melikhov, Gauss-type formulas for link map invariants, 2017 , 21 pp., arXiv: 1711.03530
14.	P. M. Akhmetiev, S. A. Melikhov, Projected and near-projected embeddings, 2017 , 18 pp., arXiv: 1711.03520
15.	S. A. Melikhov, Lifting generic maps to embeddings, 2017 , 15 pp., arXiv: 1711.03518
16.	S. A. Melikhov, “Topologiya dokazatelstv”, Konkurs Mëbiusa glazami ego pobeditelei, MTsNMO, Moskva, 2017, 28–33 www.mccme.ru/free-books/moebius20.pdf

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

2013
18.	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 (cited: 1)

2012
19.	S. Melikhov, Combinatorics of combinatorial topology, 2012 , 70 pp., arXiv: 1208.6309v1

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

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

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

2005
24.	S. A. Melikhov, D. Repovš, “$n$-Quasi-isotopy. II. Comparison”, J. Knot Theory Ramifications, 14:5 (2005), 603–626 , arXiv: math.GT/0103114
25.	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: 3) (cited: 1) (cited: 1) (cited: 3)

2004
26.	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)
27.	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)
28.	S. A. Melikhov, “Sphere Eversions and Realization of Mappings”, Proc. Steklov Inst. Math., 247 (2004), 143–163 , arXiv: math.GT/0305158

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

2002
31.	S. A. Melikhov, “On maps with unstable singularities”, Topology Appl., 120:1–2 (2002), 105–156 , arXiv: math.GT/0101047 (cited: 10) (cited: 4) (cited: 4) (cited: 5)

2001
32.	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
33.	S. A. Melikhov, “Pseudohomotopy implies homotopy for singular links of codimension $\geqslant 3$”, Russian Math. Surveys, 55:3 (2000), 589–590 (cited: 1)

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

Presentations in Math-Net.Ru

1.	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
2.	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
3.	Corrected derived limits, or How to expel set theory from algebraic topology S. A. Melikhov Geometric Topology Seminar September 24, 2018 15:30
4.	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
5.	Lim colim versus colim lim S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar April 24, 2018 16:45
6.	Limit of colimits versus colimit of limits II S. A. Melikhov Geometric Topology Seminar April 12, 2018 14:00
7.	Limit of colimits versus colimit of limits S. A. Melikhov Geometric Topology Seminar April 5, 2018 14:00
8.	Projected embeddings and approximation of maps by embeddings S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar November 28, 2017 16:45
9.	Projected embeddings for PL and smooth maps S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar November 7, 2017 16:45
10.	Projected embeddings S. A. Melikhov Geometric Topology Seminar October 26, 2017 14:00
11.	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
12.	On $\Delta$-link homotopy Yuka Kotorii, S. A. Melikhov Geometric Topology Seminar August 31, 2017 17:00
13.	Тонкий шейп и теоремы единственности для гомологий и когомологий польского пространства S. A. Melikhov Geometric Topology Seminar August 10, 2017 14:00
14.	$\Delta$-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
15.	Семантика металогики. (Часть 2) S. A. Melikhov Seminar of the Department of Mathematical Logic "Proof Theory" March 6, 2017 18:30
16.	Семантика металогики. (Часть 1) S. A. Melikhov Seminar of the Department of Mathematical Logic "Proof Theory" February 27, 2017 18:30
17.	Формальная металогика логик первого порядка и её формальная семантика S. A. Melikhov Seminar of the Department of Mathematical Logic "Proof Theory" May 16, 2016
18.	О независимых принципах в совместной логике задач и высказываний. Часть 2 S. A. Melikhov Seminar of the Department of Mathematical Logic "Proof Theory" October 5, 2015 18:30
19.	О независимых принципах в совместной логике задач и высказываний. Часть 1 S. A. Melikhov Seminar of the Department of Mathematical Logic "Proof Theory" September 28, 2015 18:30
20.	A joint logic of problems and propositions S. A. Melikhov Seminar of the Department of Mathematical Logic "Algorithmic problems in algebra and logic" March 4, 2014 18:30
21.	A joint logic of problems and propositions S. A. Melikhov Seminar of the Department of Mathematical Logic "Algorithmic problems in algebra and logic" February 25, 2014 18:30
22.	A problem of Kolmogorov, and sheaves S. A. Melikhov Geometric Topology Seminar October 22, 2013 15:00
23.	On topology of solutions of problems S. A. Melikhov Algebraic topology and its applications. Postnikov memorial seminar October 1, 2013 16:45
24.	Combinatorics of collapsible polyhedra and maps S. A. Melikhov Geometric Topology Seminar April 17, 2012 15:00
25.	On geometry of the index $8$ subgroup of the third stable stem. S. A. Melikhov Geometric Topology Seminar November 1, 2011 15:30
26.	Uniform polyhedra S. A. Melikhov Geometric Topology Seminar July 21, 2011 14:30
27.	Uniform polyhedra S. A. Melikhov Geometric Topology Seminar June 15, 2011 18:00
28.	The combinatorial viewpoint in algebraic K-theory of spaces S. A. Melikhov Geometric Topology Seminar April 19, 2011 15:00
29.	Combinatorial metods in theory of embeddings S. A. Melikhov Knots and Representation Theory April 5, 2011 18:30

Organisations

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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