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Itenberg, Ilia V.

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Author ID: itenberg.ilia-v Recent zbMATH articles by "Itenberg, Ilia V."
Published as: Itenberg, I.; Itenberg, I. V.; Itenberg, Ilia; Itenberg, Ilia V.
External Links: MGP · Wikidata
Documents Indexed: 65 Publications since 1991, including 6 Books
Reviewing Activity: 78 Reviews

Publications by Year

Citations contained in zbMATH

46 Publications have been cited 400 times in 271 Documents Cited by Year
Tropical algebraic geometry. Zbl 1162.14300
Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii
47
2007
Tropical algebraic geometry. 2nd ed. Zbl 1165.14002
Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii
42
2009
Real Enriques surfaces. Zbl 0963.14033
Degtyarev, A.; Itenberg, I.; Kharlamov, V.
32
2000
Welschinger invariant and enumeration of real rational curves. Zbl 1083.14523
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
28
2003
Brief introduction to tropical geometry. Zbl 1354.14089
Brugallé, Erwan; Itenberg, Ilia; Mikhalkin, Grigory; Shaw, Kristin
20
2015
A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. Zbl 1184.14092
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
19
2009
Patchworking algebraic curves disproves the Ragsdale conjecture. Zbl 0876.14017
Itenberg, Ilia; Viro, Oleg
17
1996
Logarithmic equivalence of the Welschinger and the Gromov-Witten invariants. Zbl 1086.14047
Itenberg, I. V.; Kharlamov, V. M.; Shustin, E. I.
16
2004
Welschinger invariants of real Del Pezzo surfaces of degree \(\geq 3\). Zbl 1308.14058
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
15
2013
Singular points and limit cycles of planar polynomial vector fields. Zbl 0953.34021
Itenberg, Ilia; Shustin, Eugeniĭ
14
2000
On the number of components of a complete intersection of real quadrics. Zbl 1266.14046
Degtyarev, Alex; Itenberg, Ilia; Kharlamov, Viatcheslav
11
2012
Geometry in the tropical limit. Zbl 1253.14058
Itenberg, I.; Mikhalkin, G.
10
2012
On Block-Göttsche multiplicities for planar tropical curves. Zbl 1329.14114
Itenberg, Ilia
8
2013
Counter-examples to the Ragsdale conjecture. Zbl 0787.14040
Itenberg, Ilia
8
1993
Welschinger invariants of small non-toric del Pezzo surfaces. Zbl 1307.14073
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
7
2013
On deformation types of real elliptic surfaces. Zbl 1184.14065
Degtyarev, Alex; Itenberg, Ilia; Kharlamov, Viatcheslav
7
2008
Multivariate Descartes’ rule. Zbl 0870.14038
Itenberg, Ilia; Roy, Marie-Françoise
7
1996
Tropical homology. Zbl 07070539
Itenberg, Ilia; Katzarkov, Ludmil; Mikhalkin, Grigory; Zharkov, Ilia
6
2019
Lines on quartic surfaces. Zbl 1368.14052
Degtyarev, Alex; Itenberg, Ilia; Sertöz, Ali Sinan
6
2017
Welschinger invariants of real del Pezzo surfaces of degree \(\geq 2\). Zbl 1351.14035
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
6
2015
New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants. Zbl 1203.14065
Itenberg, I.; Kharlamov, V.; Shustin, E.
6
2007
Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane. Zbl 1078.53090
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
5
2005
Viro theorem and topology of real and complex combinatorial hypersurfaces. Zbl 1050.14056
Itenberg, Ilia; Shustin, Eugenii
5
2003
Combinatorial patchworking of real pseudo-holomorphic curves. Zbl 1047.14047
Itenberg, Ilia; Shustin, Eugenii
5
2002
Counter-examples to Ragsdale conjecture and \(T\)-curves. Zbl 0843.14023
Itenberg, Ilia
5
1995
On real determinantal quartics. Zbl 1248.14063
Degtyarev, Alex; Itenberg, Ilia
4
2011
Asymptotically maximal real algebraic hypersurfaces of projective space. Zbl 1180.14055
Itenberg, Ilia; Viro, Oleg
4
2007
Topology of real algebraic \(T\)-surfaces. Zbl 0904.14033
Itenberg, Ilia
4
1997
Relative enumerative invariants of real nodal del Pezzo surfaces. Zbl 1429.14032
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
3
2018
Welschinger invariants revisited. Zbl 1402.14074
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
3
2017
Real trigonal curves and real elliptic surfaces of type I. Zbl 1314.14108
Degtyarev, Alex; Itenberg, Ilia; Zvonilov, Victor
3
2014
Finiteness and quasi-simplicity for symmetric \(K3\)-surfaces. Zbl 1073.14053
Degtyarev, Alex; Itenberg, Ilia; Kharlamov, Viatcheslav
3
2004
Mathematical circles (Russian experience). Transl. from the Russian by Mark Saul. Zbl 0867.00003
Fomin, D. V.; Genkin, S. A.; Itenberg, I. V.
3
1996
Towards the maximal number of components of a nonsingular surface of degree 5 in \(\mathbb{R} \mathbb{P}^ 3\). Zbl 0858.14030
Kharlamov, V.; Itenberg, I.
3
1996
Rigid isotopy classification of curves of degree 6 with one nondegenerate double point. Zbl 0824.14020
Itenberg, I. V.
3
1994
Amoebas of algebraic varieties and curves counting (following G. Mikhalkin). Zbl 1059.14067
Itenberg, Ilia
2
2004
On the number of even ovals of a nonsingular curve of even degree in \(\mathbb{R}\mathbb{P}^2\). Zbl 1002.14011
Itenberg, Ilia
2
2001
Interactions between real algebraic geometry and discrete and computational geometry. Zbl 0954.14040
Itenberg, Ilia; Roy, Marie-Françoise
2
1999
Groups of monodromy of non-singular curves of degree 6. Zbl 0841.14025
Itenberg, Ilia V.
2
1995
Hurwitz numbers for real polynomials. Zbl 1410.14043
Itenberg, Ilia; Zvonkine, Dimitri
1
2018
On total reality of meromorphic functions. Zbl 1131.14059
Degtyarev, Alex; Ekedahl, Torsten; Itenberg, Ilia; Shapiro, Boris; Shapiro, Michael
1
2007
Critical points of real polynomials and topology of real algebraic \(T\)-surfaces. Zbl 1070.14057
Itenberg, Ilia; Shustin, Eugenii
1
2003
Real algebraic curves with real cusps. Zbl 0874.14013
Itenberg, Ilia; Shustin, Eugenij
1
1996
Newton polygons and singular points of real polynomial vector fields. Zbl 0821.14033
Itenberg, Ilia; Shustin, Eugenii
1
1994
Curves of degree 6 with one non-degenerate double point and groups of monodromy of non-singular curves. Zbl 0794.14012
Itenberg, I. V.
1
1992
Rigid isotopic classification of curves of degree 6 with a nondegenerate double point. Zbl 0762.14031
Itenberg, I. V.
1
1991
Tropical homology. Zbl 07070539
Itenberg, Ilia; Katzarkov, Ludmil; Mikhalkin, Grigory; Zharkov, Ilia
6
2019
Relative enumerative invariants of real nodal del Pezzo surfaces. Zbl 1429.14032
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
3
2018
Hurwitz numbers for real polynomials. Zbl 1410.14043
Itenberg, Ilia; Zvonkine, Dimitri
1
2018
Lines on quartic surfaces. Zbl 1368.14052
Degtyarev, Alex; Itenberg, Ilia; Sertöz, Ali Sinan
6
2017
Welschinger invariants revisited. Zbl 1402.14074
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
3
2017
Brief introduction to tropical geometry. Zbl 1354.14089
Brugallé, Erwan; Itenberg, Ilia; Mikhalkin, Grigory; Shaw, Kristin
20
2015
Welschinger invariants of real del Pezzo surfaces of degree \(\geq 2\). Zbl 1351.14035
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
6
2015
Real trigonal curves and real elliptic surfaces of type I. Zbl 1314.14108
Degtyarev, Alex; Itenberg, Ilia; Zvonilov, Victor
3
2014
Welschinger invariants of real Del Pezzo surfaces of degree \(\geq 3\). Zbl 1308.14058
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
15
2013
On Block-Göttsche multiplicities for planar tropical curves. Zbl 1329.14114
Itenberg, Ilia
8
2013
Welschinger invariants of small non-toric del Pezzo surfaces. Zbl 1307.14073
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
7
2013
On the number of components of a complete intersection of real quadrics. Zbl 1266.14046
Degtyarev, Alex; Itenberg, Ilia; Kharlamov, Viatcheslav
11
2012
Geometry in the tropical limit. Zbl 1253.14058
Itenberg, I.; Mikhalkin, G.
10
2012
On real determinantal quartics. Zbl 1248.14063
Degtyarev, Alex; Itenberg, Ilia
4
2011
Tropical algebraic geometry. 2nd ed. Zbl 1165.14002
Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii
42
2009
A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. Zbl 1184.14092
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
19
2009
On deformation types of real elliptic surfaces. Zbl 1184.14065
Degtyarev, Alex; Itenberg, Ilia; Kharlamov, Viatcheslav
7
2008
Tropical algebraic geometry. Zbl 1162.14300
Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii
47
2007
New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants. Zbl 1203.14065
Itenberg, I.; Kharlamov, V.; Shustin, E.
6
2007
Asymptotically maximal real algebraic hypersurfaces of projective space. Zbl 1180.14055
Itenberg, Ilia; Viro, Oleg
4
2007
On total reality of meromorphic functions. Zbl 1131.14059
Degtyarev, Alex; Ekedahl, Torsten; Itenberg, Ilia; Shapiro, Boris; Shapiro, Michael
1
2007
Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane. Zbl 1078.53090
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
5
2005
Logarithmic equivalence of the Welschinger and the Gromov-Witten invariants. Zbl 1086.14047
Itenberg, I. V.; Kharlamov, V. M.; Shustin, E. I.
16
2004
Finiteness and quasi-simplicity for symmetric \(K3\)-surfaces. Zbl 1073.14053
Degtyarev, Alex; Itenberg, Ilia; Kharlamov, Viatcheslav
3
2004
Amoebas of algebraic varieties and curves counting (following G. Mikhalkin). Zbl 1059.14067
Itenberg, Ilia
2
2004
Welschinger invariant and enumeration of real rational curves. Zbl 1083.14523
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii
28
2003
Viro theorem and topology of real and complex combinatorial hypersurfaces. Zbl 1050.14056
Itenberg, Ilia; Shustin, Eugenii
5
2003
Critical points of real polynomials and topology of real algebraic \(T\)-surfaces. Zbl 1070.14057
Itenberg, Ilia; Shustin, Eugenii
1
2003
Combinatorial patchworking of real pseudo-holomorphic curves. Zbl 1047.14047
Itenberg, Ilia; Shustin, Eugenii
5
2002
On the number of even ovals of a nonsingular curve of even degree in \(\mathbb{R}\mathbb{P}^2\). Zbl 1002.14011
Itenberg, Ilia
2
2001
Real Enriques surfaces. Zbl 0963.14033
Degtyarev, A.; Itenberg, I.; Kharlamov, V.
32
2000
Singular points and limit cycles of planar polynomial vector fields. Zbl 0953.34021
Itenberg, Ilia; Shustin, Eugeniĭ
14
2000
Interactions between real algebraic geometry and discrete and computational geometry. Zbl 0954.14040
Itenberg, Ilia; Roy, Marie-Françoise
2
1999
Topology of real algebraic \(T\)-surfaces. Zbl 0904.14033
Itenberg, Ilia
4
1997
Patchworking algebraic curves disproves the Ragsdale conjecture. Zbl 0876.14017
Itenberg, Ilia; Viro, Oleg
17
1996
Multivariate Descartes’ rule. Zbl 0870.14038
Itenberg, Ilia; Roy, Marie-Françoise
7
1996
Mathematical circles (Russian experience). Transl. from the Russian by Mark Saul. Zbl 0867.00003
Fomin, D. V.; Genkin, S. A.; Itenberg, I. V.
3
1996
Towards the maximal number of components of a nonsingular surface of degree 5 in \(\mathbb{R} \mathbb{P}^ 3\). Zbl 0858.14030
Kharlamov, V.; Itenberg, I.
3
1996
Real algebraic curves with real cusps. Zbl 0874.14013
Itenberg, Ilia; Shustin, Eugenij
1
1996
Counter-examples to Ragsdale conjecture and \(T\)-curves. Zbl 0843.14023
Itenberg, Ilia
5
1995
Groups of monodromy of non-singular curves of degree 6. Zbl 0841.14025
Itenberg, Ilia V.
2
1995
Rigid isotopy classification of curves of degree 6 with one nondegenerate double point. Zbl 0824.14020
Itenberg, I. V.
3
1994
Newton polygons and singular points of real polynomial vector fields. Zbl 0821.14033
Itenberg, Ilia; Shustin, Eugenii
1
1994
Counter-examples to the Ragsdale conjecture. Zbl 0787.14040
Itenberg, Ilia
8
1993
Curves of degree 6 with one non-degenerate double point and groups of monodromy of non-singular curves. Zbl 0794.14012
Itenberg, I. V.
1
1992
Rigid isotopic classification of curves of degree 6 with a nondegenerate double point. Zbl 0762.14031
Itenberg, I. V.
1
1991
all top 5

Cited by 308 Authors

22 Shustin, Eugenii Isaakovich
17 Izhakian, Zur
16 Itenberg, Ilia V.
12 Rowen, Louis Halle
11 Brugallé, Erwan
10 Gaubert, Stéphane
10 Kharlamov, Viatcheslav M.
9 Degtyarev, Alex
8 Krasnov, Vyacheslav Alekseevich
8 Mikhalkin, Grigory B.
7 Knebusch, Manfred
6 Akian, Marianne
6 Grigor’ev, Dmitriĭ Yur’evich
6 Markwig, Hannah
5 Bihan, Frédéric
5 Kalinin, Nikita Sergeevich
5 Wang, Renhong
4 Bertrand, Benoît
4 de la Puente, Maria Jesus
4 Georgieva, Penka Vasileva
4 Niv, Adi
4 Schroeter, Franziska
4 Sturmfels, Bernd
4 Welschinger, Jean-Yves
3 Allamigeon, Xavier
3 Aroca, Fuensanta
3 Crétois, Rémi
3 Ding, Yanqiao
3 Finashin, Sergey Mikhailovich
3 Gasull, Armengol
3 Göttsche, Lothar
3 Jell, Philipp
3 Krivulin, Nikolai K.
3 Mangolte, Frédéric
3 Podol’skiĭ, Vladimir Vladimirovich
3 Rau, Johannes
3 Renaudineau, Arthur
3 Shkolnikov, Mikhail
3 Sottile, Frank
3 Tyomkin, Ilya
3 Viro, Oleg Ya.
2 Abakumov, Evgeny V.
2 Berman, Robert J.
2 Dickenstein, Alicia M.
2 Doubtsov, Evgueni Sergeevich
2 Du, Weiping
2 Ergür, Alperen Ali
2 Geng, Xianguo
2 Gómez-Morales, Mirna
2 Hajja, Mowaffaq
2 Hong, Hoon
2 Hower, Valerie
2 Joswig, Michael
2 Katz, Eric
2 Kubo, Susumu
2 Lai, Yisheng
2 Lang, Lionel
2 Len, Yoav
2 Lerario, Antonio
2 Liu, Changjian
2 Moussa, Seydou
2 Nisse, Mounir
2 Passare, Mikael
2 Puignau, Nicolas
2 Salepci, Nermin
2 Santos, Francisco
2 Sendra, Juan Rafael
2 Shaw, Kristin M.
2 Veniani, Davide Cesare
2 Wang, Shaofan
2 Yang, Jihyeon Jessie
2 Zhai, Yunyun
2 Zinger, Aleksey
1 Abenda, Simonetta
1 Adi, Niv
1 Adiprasito, Karim Alexander
1 Adnet, Frédéric
1 Agazzi, Andrea
1 Akriche, Mouadh
1 Aktaş, Çisem Güneş
1 Alafifi, Ghada
1 Angelelli, Mario
1 Arzhakova, Elizaveta
1 Azar, Monique
1 Bapat, Ravindra Bhalchandra
1 Benchimol, Pascal
1 Benedetti, Bruno
1 Benoist, Olivier
1 Benzerga, Mohamed
1 Berger, Marcel
1 Bertram, Aaron
1 Bhuniya, Anjan Kumar
1 Biswas, Indranil
1 Blechman, Lev
1 Block, Florian
1 Blondel, Vincent D.
1 Bocklandt, Raf
1 Bousseau, Pierrick
1 Boyet, Marin
1 Brannetti, Silvia
...and 208 more Authors
all top 5

Cited in 120 Serials

12 Advances in Mathematics
11 Mathematische Annalen
9 Mathematische Zeitschrift
9 Linear Algebra and its Applications
8 Journal of Symbolic Computation
8 Discrete & Computational Geometry
7 Mathematical Notes
7 Journal of Algebra
6 Journal of Pure and Applied Algebra
6 Journal of Algebraic Geometry
5 Communications in Algebra
5 Israel Journal of Mathematics
5 Duke Mathematical Journal
5 International Journal of Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Manuscripta Mathematica
4 Advances in Applied Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Geometry & Topology
3 Compositio Mathematica
3 Geometriae Dedicata
3 Inventiones Mathematicae
3 Selecta Mathematica. New Series
3 Izvestiya: Mathematics
3 Advances in Geometry
3 Proceedings of the Steklov Institute of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Beiträge zur Algebra und Geometrie
2 Algebra Universalis
2 Journal of Combinatorial Theory. Series A
2 Journal of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Nagoya Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Semigroup Forum
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 International Journal of Algebra and Computation
2 Journal of Knot Theory and its Ramifications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 St. Petersburg Mathematical Journal
2 Foundations of Computational Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Afrika Matematika
2 Arnold Mathematical Journal
2 European Journal of Mathematics
2 SIAM Journal on Applied Algebra and Geometry
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematische Semesterberichte
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Mathematics Magazine
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Annales Polonici Mathematici
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Publications Mathématiques
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of Number Theory
1 Kybernetika
1 Le Matematiche
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Ergodic Theory and Dynamical Systems
1 Bulletin of the Korean Mathematical Society
1 Constructive Approximation
1 Forum Mathematicum
1 Japan Journal of Industrial and Applied Mathematics
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 Expositiones Mathematicae
1 Mathematical Programming. Series A. Series B
1 Vestnik St. Petersburg University. Mathematics
1 Computational Complexity
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Transformation Groups
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Revista Matemática Complutense
...and 20 more Serials
all top 5

Cited in 45 Fields

211 Algebraic geometry (14-XX)
26 Associative rings and algebras (16-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
23 Several complex variables and analytic spaces (32-XX)
21 Field theory and polynomials (12-XX)
21 Differential geometry (53-XX)
17 Convex and discrete geometry (52-XX)
16 Commutative algebra (13-XX)
15 Combinatorics (05-XX)
14 Group theory and generalizations (20-XX)
13 Dynamical systems and ergodic theory (37-XX)
10 Number theory (11-XX)
10 Ordinary differential equations (34-XX)
10 Numerical analysis (65-XX)
10 Computer science (68-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Manifolds and cell complexes (57-XX)
8 Geometry (51-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
6 Mathematical logic and foundations (03-XX)
6 Quantum theory (81-XX)
5 Algebraic topology (55-XX)
5 Probability theory and stochastic processes (60-XX)
4 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Functions of a complex variable (30-XX)
3 Partial differential equations (35-XX)
3 Operator theory (47-XX)
3 General topology (54-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General algebraic systems (08-XX)
2 Nonassociative rings and algebras (17-XX)
2 Approximations and expansions (41-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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