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Ivan Losev (mathematician)

Ivan Losev (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ivan Losev (mathematician) rather than just read about it. In short: Ivan Vadzimavich Loseu (publishing under the name Ivan Losev; Belarusian Іван Вадзімавіч Лосеў, Russian Иван Вадимович Лосев, born 18 October 1981 in Minsk, Belarus) is a Belarusian-American mathematician, specializing in representation theory, symplectic geometry, algebraic geometry, and combinatorial algebra. Education and career Losev matriculated in 1999 at Belarusian State University, where he graduated in 2004…

Key takeaways

  • Ivan Losev (mathematician) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Ivan Losev (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Ivan Losev (mathematician) from memory before moving on to harder problems.

Reference excerpt

Ivan Vadzimavich Loseu (publishing under the name Ivan Losev; Belarusian Іван Вадзімавіч Лосеў, Russian Иван Вадимович Лосев, born 18 October 1981 in Minsk, Belarus) is a Belarusian-American mathematician, specializing in representation theory, symplectic geometry, algebraic geometry, and combinatorial algebra.

Education and career Losev matriculated in 1999 at Belarusian State University, where he graduated in 2004 with an M.Sc. from the Department of Applied Mathematics and Computer Science. From 2004 to 2007 he was a graduate student in the Department of Mechanics and Mathematics, Moscow State University. There in 2007 he received his Ph.D. (Candidate of Sciences) with thesis Classification of some coisotropic actions of algebraic groups and advisor E. B. Vinberg. As a postdoc Losev was from 2007 to 2008 an engineer-programmer at Belarusian State University and from 2008 to 2011 a C.L.E. Moore Instructor at Massachusetts Institute of Technology. At Northeastern University he was from 2011 to 2015 an associate professor and from 2015 to 2018 a full professor. He was a full professor from 2018 to 2019 at the University of Toronto and is since 2019 a full professor at Yale University. Losev has given talks at many conferences and workshops, has served as a referee for several academic journals, and is a member of the editorial boards of the journals Transformation Groups, Selecta Mathematica, and the Journal of Combinatorial Algebra. In 2017 he was elected a fellow (of the class of 2018) of the American Mathematical Society with a citation for "contributions to geometric representation theory, noncommutative algebra, and the theory of categorification." In 2010 in Hyderabad he was an invited speaker with talk, Finite W-algebras at the International Congress of Mathematicians.

Selected publications Losev, I V (2006). "Symplectic slices for actions of reductive groups". Sbornik: Mathematics. 197 (2): 213–224. doi:10.1070/SM2006v197n02ABEH003754. ISSN 1468-4802. S2CID 250919141. Losev, Ivan V. (2009). "Uniqueness property for spherical homogeneous spaces". Duke Mathematical Journal. 147 (2): 315–343. arXiv:math/0703543. doi:10.1215/00127094-2009-013. S2CID 14514632. arXiv print Losev, Ivan (2010). "Quantized symplectic actions and W {\displaystyle W} -algebras". Journal of the American Mathematical Society. 23 (1): 35–59. arXiv:0707.3108. doi:10.1090/S0894-0347-09-00648-1. ISSN 0894-0347. Losev, Ivan V. (2010). "Computation of Weyl groups of G {\displaystyle G} -varieties". Representation Theory. 14 (2): 9–69. arXiv:math/0612559. doi:10.1090/S1088-4165-10-00365-1. ISSN 1088-4165. Losev, Ivan (2011). "Finite-dimensional representations of W {\displaystyle W} -algebras". Duke Mathematical Journal. 159 (1): 99–143. arXiv:0807.1023. doi:10.1215/00127094-1384800. S2CID 15318762. arXiv preprint Losev, Ivan (2011). "1-Dimensional representations and parabolic induction for W {\displaystyle W} -algebras". Advances in Mathematics. 226 (6): 4841–4883. arXiv:0906.0157. doi:10.1016/j.aim.2010.12.021. ISSN 0001-8708. S2CID 15770557. Losev, Ivan (2012). "Isomorphisms of quantizations via quantization of resolutions". Advances in Mathematics. 231 (3–4): 1216–1270. arXiv:1010.3182. doi:10.1016/j.aim.2012.06.017. ISSN 0001-8708. Gordon, Iain; Losev, Ivan (2014). "On category O {\displaystyle O} for cyclotomic rational Cherednik algebras". Journal of the European Mathematical Society. 16: 1017–1079. arXiv:1109.2315. doi:10.4171/JEMS/454. Etingof, Pavel; Gorsky, Eugene; Losev, Ivan (2015). "Representations of rational Cherednik algebras with minimal support and torus knots". Advances in Mathematics. 277: 124–180. arXiv:1304.3412. doi:10.1016/j.aim.2015.03.003. ISSN 0001-8708.

References

External links "Ivan Losev". Mathematics Department, Yale University. (with links to preprints and videos)

Worked examples

Example 1 — a first encounter with Ivan Losev (mathematician)

Start with the simplest possible case. Write down what Ivan Losev (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ivan Losev (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ivan Losev (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ivan Losev (mathematician)

In research
Ivan Losev (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Ivan Losev (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Ivan Losev (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1981 births, 21st-century Belarusian mathematicians, Belarusian State University alumni, so understanding it makes those chapters shorter.
In everyday life
Look for Ivan Losev (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Ivan Losev (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Ivan Losev (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Ivan Losev (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ivan Losev (mathematician) in simple terms?

Ivan Vadzimavich Loseu (publishing under the name Ivan Losev; Belarusian Іван Вадзімавіч Лосеў, Russian Иван Вадимович Лосев, born 18 October 1981 in Minsk, Belarus) is a Belarusian-American mathematician, specializing in representation theory, symplectic geometry, algebraic geometry, and combinato…

Why does Ivan Losev (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ivan Losev (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ivan Losev (mathematician).

Tags

  • 1981 births
  • 21st-century Belarusian mathematicians
  • Belarusian State University alumni
  • Fellows of the American Mathematical Society
  • Living people
  • Moscow State University alumni
  • Northeastern University faculty
  • Yale University faculty

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