Alexander Lytchak

1.0k total citations
42 papers, 427 citations indexed

About

Alexander Lytchak is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Alexander Lytchak has authored 42 papers receiving a total of 427 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Applied Mathematics, 28 papers in Geometry and Topology and 20 papers in Mathematical Physics. Recurrent topics in Alexander Lytchak's work include Geometric Analysis and Curvature Flows (27 papers), Point processes and geometric inequalities (16 papers) and Geometric and Algebraic Topology (14 papers). Alexander Lytchak is often cited by papers focused on Geometric Analysis and Curvature Flows (27 papers), Point processes and geometric inequalities (16 papers) and Geometric and Algebraic Topology (14 papers). Alexander Lytchak collaborates with scholars based in Germany, Switzerland and Japan. Alexander Lytchak's co-authors include Viktor Schroeder, Pierre‐Emmanuel Caprace, Stefan Wenger, Gudlaugur Thorbergsson, Vitali Kapovitch, Andreas Bernig, Linus Kramer, Cláudio Gorodski, Burkhard Wilking and Anton Petrunin and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Acta Mathematica.

In The Last Decade

Alexander Lytchak

36 papers receiving 387 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Alexander Lytchak Germany	14	316	277	159	84	54	42	427
Yu. D. Burago Russia	5	230 0.7×	284 1.0×	66 0.4×	74 0.9×	49 0.9×	14	339
James J. Hebda United States	9	198 0.6×	196 0.7×	116 0.7×	51 0.6×	34 0.6×	32	291
Elisha Falbel France	13	369 1.2×	191 0.7×	207 1.3×	27 0.3×	20 0.4×	43	412
Andreas Bernig Germany	11	165 0.5×	330 1.2×	114 0.7×	55 0.7×	16 0.3×	25	366
Alexander Nabutovsky Canada	9	174 0.6×	125 0.5×	112 0.7×	14 0.2×	94 1.7×	34	238
Huabin Ge China	14	231 0.7×	332 1.2×	119 0.7×	18 0.2×	217 4.0×	37	407
Yuri Nikolayevsky Australia	10	209 0.7×	226 0.8×	51 0.3×	135 1.6×	36 0.7×	46	310
Mario Bonk United States	17	705 2.2×	658 2.4×	268 1.7×	18 0.2×	79 1.5×	45	844
J. J. Nuño‐Ballesteros Spain	9	245 0.8×	84 0.3×	127 0.8×	15 0.2×	63 1.2×	73	296
Ursula Hamenstädt Germany	10	277 0.9×	175 0.6×	233 1.5×	20 0.2×	22 0.4×	42	346

Countries citing papers authored by Alexander Lytchak

Since Specialization

Citations

This map shows the geographic impact of Alexander Lytchak's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander Lytchak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Lytchak more than expected).

Fields of papers citing papers by Alexander Lytchak

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Lytchak. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander Lytchak. The network helps show where Alexander Lytchak may publish in the future.

Co-authorship network of co-authors of Alexander Lytchak

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Lytchak. A scholar is included among the top collaborators of Alexander Lytchak based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alexander Lytchak. Alexander Lytchak is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Lytchak, Alexander. (2024). Some regularity of submetries. Annals of Global Analysis and Geometry. 65(2).

Lytchak, Alexander, et al.. (2024). Curvature bounds of subsets in dimension two. Journal of Differential Geometry. 127(3). 1 indexed citations

Lytchak, Alexander, et al.. (2024). Curvature bounds on length-minimizing discs. Geometriae Dedicata. 218(2).

Lytchak, Alexander. (2023). A note on subsets of positive reach. Mathematische Nachrichten. 297(3). 932–942. 1 indexed citations

Lytchak, Alexander. (2023). On conformal planes of finite area. Mathematische Zeitschrift. 305(3). 2 indexed citations

Gorodski, Cláudio, et al.. (2022). A diameter gap for quotients of the unit sphere. Journal of the European Mathematical Society. 25(9). 3767–3793.

Kapovitch, Vitali & Alexander Lytchak. (2021). Remarks on Manifolds with Two-Sided Curvature Bounds. SHILAP Revista de lepidopterología. 5 indexed citations

Lytchak, Alexander, et al.. (2021). Lorentz Meets Lipschitz. Advances in Theoretical and Mathematical Physics. 25(8). 2141–2170. 13 indexed citations

Lytchak, Alexander & Stefan Wenger. (2020). CANONICAL PARAMETERIZATIONS OF METRIC DISKS. Kölner Universitäts PublikationsServer (Universität zu Köln). 8 indexed citations

10.

Kapovitch, Vitali, Alexander Lytchak, & Anton Petrunin. (2020). Metric-measure boundary and geodesic flow on Alexandrov spaces. Journal of the European Mathematical Society. 23(1). 29–62. 9 indexed citations

11.

Lytchak, Alexander, et al.. (2019). Geodesically complete spaces with an upper curvature bound. Geometric and Functional Analysis. 29(1). 295–342. 22 indexed citations

12.

Kramer, Linus & Alexander Lytchak. (2019). Correction to: HOMOGENEOUS COMPACT GEOMETRIES. Transformation Groups. 24(2). 589–596.

13.

Lytchak, Alexander & Stefan Wenger. (2018). Isoperimetric characterization of upper curvature bounds. Acta Mathematica. 221(1). 159–202. 7 indexed citations

14.

Gorodski, Cláudio & Alexander Lytchak. (2015). Isometric actions on spheres with an orbifold quotient. Mathematische Annalen. 365(3-4). 1041–1067. 7 indexed citations

15.

Kramer, Linus & Alexander Lytchak. (2014). HOMOGENEOUS COMPACT GEOMETRIES. Transformation Groups. 19(3). 793–852. 7 indexed citations

16.

Lytchak, Alexander. (2013). On contractible orbifolds. Proceedings of the American Mathematical Society. 141(9). 3303–3304. 1 indexed citations

17.

Lytchak, Alexander. (2011). Affine images of Riemannian manifolds. Mathematische Zeitschrift. 270(3-4). 809–817. 1 indexed citations

18.

Lytchak, Alexander. (2010). Geometric resolution of singular Riemannian foliations. Geometriae Dedicata. 149(1). 379–395. 17 indexed citations

19.

Lytchak, Alexander. (2009). SINGULAR RIEMANNIAN FOLIATIONS ON SPACES WITHOUT CONJUGATE POINTS. 75–82. 3 indexed citations

20.

Lytchak, Alexander, et al.. (2007). Spaces with many affine functions. Proceedings of the American Mathematical Society. 135(7). 2263–2271. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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