Review of dissertation proposal Proposal title: PhD candidate: Building the ultimate math search engine Martin Líška Proposal content: The subject of dissertation proposal is the design and development of retrieval system for mathematic expressions (math information retrieval - MIR). Unlike traditional text retrieval tasks, the MIR is much more difficult, as the search problem is not just syntactical matching of terms but more a semantic reasoning task. The author surveys the current state of the art in MIR, summarizes his previous results and proposes the goals for his PhD thesis. The goals include semantic basd search (e.g., simplification of expressions, applying algebraic rules), subformula unification (wildcards for subexpressions), query expansion and combinations of various approaches. The proposal is well structured and written in very good English, in fact, it could be used as a concise survey on MIR. I strongly appreciate the topic, as MIR is still underestimated branch of information retrieval because of the limited (but still large) number of users (scientists and professionals applying math). From my personal professional experience, the search engine for mathematics is highly useful tool especially for interdisciplinary research, where a researcher needs to model certain problem but is unable to prove/verify the mathematics he/she developed. The MIR could help identify documents (the math included, respectively) from different areas of research using similar math; possibly including the stuff missing in the user's research. The goals presented in the proposal are very ambitious, although risky. Especially the semantic search and subformula unification virtually make the search process extremely complex. On the other hand, as the candidate begun his research already as a bachelor student ans so is skilled in MIR tasks, the assumptions on finishing the goals are quite realistic in two years as outlined. The publication record of the candidate is sufficient, while I expect other will follow before the thesis submission. I recommend to submit papers to the top IR conferences listed in the proposal and also in a respected journal. Questions: What kind of semantic search do you plan to include in order to keep the search process efficient? Conclusion: In summary, the PhD candidate proved he is able to submit an excellent PhD thesis in a foreseeable time (2 years). The thesis proposal gives clearly defined goals and presents original results published in conference proceedings. The candidate's research record is sufficient, the following years give enough time to disseminate the results prior to the actual PhD thesis submission. I definitely recommend the proposal to be accepted as dissertation proposal, as well as the rigorous thesis. Review: Masarykova univerzita In Prague, 12th of March, 20ßakulta informatiky Datum: C.jTE.č.: Počst listů dokumentu: Počat příloh a listú/sv.: Počat a druh nejíst pffloh: J. J.