iit phd mathematics eligibility

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Minimum Qualifications for admission to Full-time PhD Programmes

Table 1 defines the minimum qualifications required for admission to full-time Ph. D. programmes at IIT Delhi. Please note:

These are Institute minimum requirements and any Department/Centre/School operating through their DRC/CRC/SRC can specify higher short-listing criteria than what is specified here.

This table includes most of the degrees, but each DRC/CRC/SRC is free to specify the qualifications and disciplines acceptable for admission to their programmes.

Candidates in the final year of their programmes and who expect to complete all their qualifying degree requirements before the date of registration are also eligible to apply for admissions. For short-listing purposes, their performance until the preceding semester (preceding year if their programmes are year based) would be considered but their admission would be provisional, subject to their meeting the minimum eligibility criteria after their final qualifying examination results are announced. In any case, all admissions are provisional at first and it is confirmed only after all certificates and previous records are duly checked and verified, a process which may take a few weeks into the starting semester.

Table 1: Minimum Qualification for Admission to full-time PhD Programmes

Exemptions, relaxations and clarifications:.

For SC/ST/PwD category candidates , the minimum performance in the qualifying degree (S. No. 1 & 2 in Table 1) is relaxed from 60% to 55% (CGPA relaxed from 6.00 to 5.50).

For SC/ST/PwD category candidates , the minimum performance in the qualifying degree (Sr. No.3 in Table 1) is relaxed from 70% to 65% (CGPA relaxed from 7.00 to 6.50).

Qualifying degree performance is computed by aggregating performance over all the semesters/years of the qualifying degree, as per the credit or weightage system approved in the institution/ board where the degree has been completed.

Requirement of qualification in GATE / National Exam is waived for the following categories of applicants:

Currently registered students in Centrally Funded Technical Institutes (CFTIs) pursuing B.Tech./B.E./ Integrated M. Tech/ Integrated M.Sc. Programmes (or any other programme of minimum four year duration, admission to which is on the basis of JEE), who have completed 6 semesters or more, and have CGPA of 8.00 or above (on a 10 point scale). Such students must obtain a CGPA of 8.00 or above at the time of graduation, and before they formally register for the Ph.D. programme (80% aggregate marks, if marks are the primary mode of evaluation);

Graduates of CFTIs (in the programmes marked under (i)) with a final graduation CGPA of more than 8.00 (80% aggregate marks, if marks are the primary mode of evaluation);

M.A or M.Sc. graduates from IITs with CGPA 8.00 or above.

For purposes of shortlisting, the primary method of evaluation (i.e., CGPA/CPI, or aggregate percentage, whichever is appropriate) followed by the institution where candidate has obtained his/her qualifying degree will be used by IIT Delhi for determining whether the candidate meets the final shortlisting requirements.

For assistantship purposes only (and not for qualification), candidates with M.B.B.S. qualification will be considered equivalent to M. Tech., for admission to Ph.D. programme in Centre for Biomedical Engineering;

For candidates with M.A. degree in English, a 5% relaxation in marks or 0.5 relaxation in CGPA may be permitted for admission to the Ph.D. programme in Humanities and Social Sciences;

Candidates holding an MBA degree are eligible for applying to the Ph.D. programme in the Department of Management Studies.

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IIT Bombay Department of Mathematics

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Study @ IIT Bombay, Department of Mathematics

We offer a variety of postgraduate programs, as well as a doctoral research program for highly motivated students looking to pursue an academic or industrial career in Mathematics or Statistics. The department has introduced a new Bachelor of Science (B.S.) programme in Mathematics.

We offer a variety of postgraduate programmes, as well as a doctoral research programme for highly motivated students looking to pursue an academic or industrial career in Mathematics or Statistics. Apart from the PhD programme, the department has (1) a four year BS programme in Mathematics, (2) a five year BS+MSc in Mathematics, (3) a five year BS in Mathematics with an MSc in Statistics, (4) a two year MSc in Mathematics, and (5) a two year MSc in Statistics, all these for new entrants. Other than these programmes, we offer (1) a five year Integrated MSc in Mathematics, (2) an Inter Disciplinary Dual Degree Program (IDDDP) in Mathematics, and (3) an IDDDP in Statistics for students already enrolled in IIT Bombay. For more details see our Course Curriculum Booklet .

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The written test/Interview for the PhD admission in Mathematics and Statistics for the academic session 2024-25 -I for shortlisted candidates will be conducted from May 16- May 18, 2024.

Past question papers for qualifying written test for Mathematics candidates

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For any query related to Ph.D. admissions contact

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Kanpur, UP 208016 | Phone: 0512-259-xxxx | Fax: 0512-259-xxxx

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Welcome to IIT Madras Research Admission Portal

Instructions to the candidates

• First time users must create an account with a valid email address. This email address will be used for all further correspondence related to the admission process. Do check your email regularly.
• Only applications submitted on this site with supporting documentation will be considered. Hardcopy applications or applications by email will not be considered.
• Candidates who are applying under reserved category should submit the required valid documents in the prescribed format at the time of applying.
• Candidates applying to multiple departments or programmes should use the same login ID and submit separate applications and pay the fees separately.
• For registering your application, create a new account or login into your existing account, then fill the necessary fields & upload the relevant documents in the application form and pay the requisite application fee to complete the application process.
• If you have questions regarding the admission process and research programs, you can refer to the FAQ and MS / PhD ordinances.
• Quote the application number with all queries related to submitted applications.
• The IDRP application process is in 2 stages. After filling up the application form on the IITM Website, project choices must be filled out in the Google form available on the IDRP website. https://sites.google.com/a/smail.iitm.ac.in/iitm-idrp/Current_Admissions . The list of projects will be available on the IDRP Website. Applicants who do not fill out the Google form on the IDRP website will not be considered for the shortlisting process. Please visit the IDRP website for more details.
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• Doctor of Philosophy in Applied Mathematics

The Doctor of Philosophy in Applied Mathematics program provides advanced education through  advanced coursework, independent study, and original, creative research to make a significant contribution to the field of applied mathematics and to prepare students for careers in academia and  industrial research.

Admission Requirements

The program normally requires a bachelor’s degree in mathematics or applied mathematics. Candidates whose degree is in another field (for example, computer science, physics, or engineering) and whose background in mathematics is strong are also eligible for admission and are encouraged to apply. Applicants should have a bachelor’s degree from an accredited university. A cumulative GPA of 3.5/4.0 is usually required. The applicants  must also have demonstrated the potential for conducting original research in applied mathematics.  A combined verbal and quantitative GRE examination score of at least 304, and an analytic writing score of at least 3.0 are required. TOEFL scores (if required) should be a minimum of 80/550 (internet-based/paper-based test scores). A professional statement of goals/objectives (two pages) and a curriculum vitae must be submitted. Three letters of recommendation are required. Students must remove deficiencies in essential undergraduate courses that are prerequisites for the degree program, in addition to fulfilling all other degree requirements. Typically, admitted students score at least 165 on the quantitative portion of the GRE; however, meeting the minimum or typical GPA and test score requirements does not guarantee admission. 

The Director of Graduate Studies serves as temporary academic adviser for newly admitted graduate students in the master of science and the Ph.D. programs until an appropriate faculty member is selected as the research adviser. Students are responsible for following all departmental procedures, as well as the general requirements of the Graduate College.

Curriculum 

Minimum degree credits required: 72

Students must take the colloquium/seminar course MATH 593  at least six times with a satisfactory grade.

Students must past three written qualifying exams at the Ph.D. level: MATH 500 Applied Analysis I , MATH 577 Computational Mathematics I , and one of the following: MATH 540 Probability , MATH 553 Discrete Applied Mathematics I , or MATH 563 Mathematical Statistics .

Students must pass one qualifying exam by the end of their third semester, and must pass all three by the end of their fifth semester. Students can attempt each exam twice, if needed. The exams will be offered twice every year, one in the fall and the other in spring. Students can take one, two, or three exams each semester.

Besides the courses in the core areas of study, the remaining courses in the program are selected in consultation with the student’s academic adviser. The program may include at most three MATH courses at the 400-level. The program requires that the student takes the colloquium/seminar course  MATH 593  at least six times with a satisfactory grade. The program must include at least two to four courses in an area of concentration outside of the department, as approved by the Director of Graduate Studies; these may include 400-level courses.

The comprehensive examination consists of an oral examination based on the student’s research proposal. The exam aims to ensure that the student has the background to carry out successful research in their chosen area and the proposed research has sufficient scholarly merit.

The dissertation (thesis) is expected to contain a distinct and substantial, original, and publishable contribution to the field of study. The credit hours devoted to thesis research ( MATH 691 ) must total between 24 and 36. An oral examination in defense of the thesis constitutes completion of the degree.

Exceptions to these general rules require approval by the departmental graduate studies committee.

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PhD program in Mathematics at IITs

• March 16, 2022
• PhD Program

Introduction  

We live in the era of mathematics. It permeates all aspects of economic and social activity, and its influence and impact are profound.Technology and mathematics are closely connected in several ways. Modern technology would be unthinkable without mathematics. It has both an inherent logic and beauty while also providing the structure and models from which physicists, chemists, biologists, medics, engineers, economists, and social scientists build an understanding of our world and construct the tools to improve our lives.

Mathematics is the abstract study of topics such as numbers, structures, shapes, space, quantity, and change. Mathematics may be studied in its own right (pure mathematics) or as it is applied to other disciplines such as natural sciences, engineering, medicine, finance, computer science, and social sciences (applied mathematics).

Research in Mathematics at IITs

The Department of Mathematics at various IITs offer doctoral research program for motivated students interested in pursuing their career in mathematics – either academic or industry and postgraduate programs, namely MSc and MTech. They provide excellent opportunities in recent and emerging research areas in pure and applied mathematics to prepare motivated researchers who can work in frontline areas. The departments pursue collaborative programs with highly reputed national and international institutions. The departments encourage interdisciplinary trends. The vibrant academic environment of the departments is nurtured by strongly motivated faculty who work in almost all broad areas of Mathematics. The faculty members are involved in interdisciplinary research collaborations with various departments and research centers both within and beyond the institute.

Research Areas

Ph.D. Program in Mathematics offers an exciting and unique opportunity to students for pursuing research in the following areas:

Algebra and Number Theory : Algebraic Geometry and Noncommutative Geometry, Representation Theory, Number Theory, Algebraic Groups, and Related Structures, Commutative Algebra

Analysis : Multivariable Operator Theory, Numerical Functional Analysis, Approximate Solutions of Operator Equations and Eigenvalue Problems, Spline Theory, Noncommutative Probability, Several Complex Variables, Operator Algebras, and Operator Spaces

Combinatorics and Theoretical Computer Science : Graph Theory, Graph Ideas, Algebraic and enumerative combinatorics, Probabilistic Combinatorics, Logic, Computing, Approximation Algorithms, Cryptology, Computational Number Theory

Differential Equations and Applied Mathematics : Linear and Nonlinear Partial Differential Equations, Nonlinear Functional Analysis, Systems, and Control Theory, Game Theory, Fluid, and Solid Mechanics, Mathematical Modelling & Numerical Simulation, Integral Equations, Wave-Structure Interaction, Computational Fluid Dynamics, Convective Heat And Mass Transfer

Geometry and Topology : Algebraic topology and Homotopy theory, Computational Geometry , Differential Geometry , Geometric group theory and Hyperbolic geometry , Moduli spaces of hyperbolic surfaces, Topological graph theory

Probability and Statistics : Probability theory and Applications, Stochastic Processes, Time Series Analysis, Mathematical Finance, Econometric modeling, Regression modeling, Systems, and Control Theory, Game Theory, Statistical

Career Prospects

After completing the program, the scholars get excellent opportunities to pursue research and teaching careers in education and research institutions worldwide. And for those who are willing to apply mathematics to practical problems, there has been a dramatic change in the job scene over the past few years. The scholars also get jobs in industries. They can even join software industries. Many financial services companies, research labs of multinational companies, and others aggressively recruit mathematics researchers.

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"The Results for the fourth round of DIA are out."

List of current PhD students at the department can be found here .

Application portal for admission to PhD program for 2024-25-M semester at IIT Bhilai is live now. NEW Click here to download the list of shortlisted applications. -->

IIT Bhilai is an institute of national importance declared as such under the Institutes of Technology (Amendment) Act 2016 to provide for education and research in various branches of engineering, technology, science, and liberal arts. The focus of IIT Bhilai is to prepare young individuals to become professional leaders of tomorrow by imparting cutting-edge technical skills and knowledge, so that they can take on the real-life challenges in the future with confidence and maturity. IIT Bhilai is striving for research-driven undergraduate and postgraduate education. Our objective is to create an educational system with multifaceted outcomes, including research, entrepreneurship, technical leadership, and above all, responsible citizenship.

IIT Bhilai offers PhD programs in the following department/disciplines.

• Bioscience and Biomedical Engineering
• Computer Science and Engineering
• Data Science and Artificial Intelligence
• Electrical Engineering
• Electronics & Communication Engineering
• Materials Science and Metallurgical Engineering
• Mathematics
• Mechanical Engineering
• Mechatronics Engineering

IIT Bhilai invites applications for admission to PhD program in various disciplines for the session starting from July 2024.

Eligibility criteria for PhD admission

• Master’s degree in engineering/Technology with first class, 60% marks (55% marks for SC/ST) or equivalent.
• Bachelor’s degree in engineering/Technology with first class, 60% marks (55% marks for SC/ST) or equivalent.
• Master’s degree in science, arts, social sciences with first class 60% marks (55% marks for SC/ST) or equivalent.
• #M.Pharm with first class, 60% marks (55% marks for SC/ST) or equivalent.
• #M.B.B.S or B.D.S with first class, 60% marks (55% marks for SC/ST) or equivalent.
• Valid GATE/GPAT# Score (Also refer to Table 1 below for department/discipline specific criteria).
• Junior Research Fellowship (JRF) of CSIR/ UGC/ NBHM/ DBT/ ICAR/ ICMR/ ICPR/DAE or DST INSPIRE Fellowship (Also refer to Table 1 below for department/ discipline specific criteria).
• Minimum of 2 years of relevant professional experience. The experience gained while acquiring a master’s degree in engineering/Technology or experience acquired after obtaining the qualifying degree and completed before the starting of the semester in which admission is sought may be considered as professional experience.
• BTech from IIT with a CPI/CGPA of 8.0 or more.
• #NEET-PG, NEET-AIIMS (INI-CET), NEET-MDS scores as applicable.

# Applicable for admission to PhD program in Bioscience and Biomedical Engineering only. An ongoing degree may also be considered as a qualifying degree provided the applicant graduates before the PhD program starts. Department/discipline specific requirements are given in Table 1.

Table 1: Department/ Discipline specific criteria for PhD admission

Application categories for PhD admission

Applicant meeting the eligibility criteria may apply for admission to the PhD program under any of the following categories.

• Institute Fellowship
• Sponsored full-time
• Sponsored part -time
• External full-time
• External part -time
• Applicants (i.e. category A to E) can opt for PMRF/ Visvesvaraya Scheme while filling the application form, such candidates will be considered for these fellowships subject to the availability of seats.
• If selected, program category will be changed to Sponsored full-time (i.e., Category B).
• If not selected later for the PMRF/Visvesvaraya fellowship, program category of the applicant shall be considered same as that of the program category opted by the applicant initially (i.e., A to E).
• Terms and conditions for PMRF fellowship are available at: https://iitbhilai.ac.in/index.php?pid=pmrf
• Terms and conditions, research areas etc. for Visvesvaraya fellowship are available at: https://phd.dic.gov.in/

Thrust Research Area (Not limited to)

Guidelines for PhD applications

• Applicants must read the instructions given in the brochure carefully before filling up the application form.
• Applicants must fill out the online application form available at Apply Now . There is NO need to send a hardcopy of the application forms.
• Separate application form is to be filled if applicants are applying in more than one department/discipline.
• Reservations are applicable for applicants in other Backward Class-Non-Creamy layer (OBC-NCL)/ Scheduled Caste (SC)/ Scheduled Tribe (ST)/ Person with benchmark disability (PwD) / Economically weak section (EWS) category, as per Government of India rules. Necessary supporting documents must be attached to avail such reservation during online application and the same will be verified at the time of admission.
• Applicants should complete the application form in all respects. Incomplete application will not be considered.
• Photograph.
• Academic certificates (10th/12th, UG & PG certificates, etc. whichever is applicable)
• Mark-sheet of all semesters/Consolidated mark-sheet of the qualifying degree. Result awaited applicants have to upload their latest/previous semester mark-sheet.
• Caste certificate (OBC-NCL/SC/ST), if applicable.
• Experience certificate and any other relevant documents., whichever applicable.
• Applicants must also provide the details of at least two well acquainted people who can provide reference letters in support of candidature of applicant. At least one of them must be an academician and must have taught the applicant.
• Applicants having degree from foreign universities should upload equivalence certificate from Association of Indian Universities (AIU), New Delhi for qualifying Exam and proof of having first class or 60% (55% for SC/ST) marks or equivalent in qualifying examination.
• Applicants are advised to check the Institute website for results / important announcements. Applicants are also advised to check emails sent to the email address provided in their applications for all important communications and announcements. All communications related to admission will be communicated only through email.
• Photo ID Card,
• Printed copy of the application submitted online,
• Thesis / dissertation / report / publications,
• All Original certificates and mark-sheets.

Tentative Schedule of Admission for PhD Program in 2024-25-M semester

The dates given above are tentative. Any changes in the dates will be indicated on the website. Candidates are requested to check Institute website and their email regularly for updates.

Application Process

STEP-II: Application Finalization Finalization of application is mandatory. If not finalized, the application will not be considered. Editing/modification/addition is not possible after finalization of the application form. Hence, candidate should verify details before finalizing the application form. Once is application is finalised; application number will be generated. Candidates should note the application number for future reference.

• Application fee of 100 INR is applicable for SC/ST/PwD/female candidates and 200 INR is applicable for other candidates.
• Payment of application fee must be made through State Bank Collect only. Candidate shall visit SBI Collect, for fees payment (SBI collect link is provided in the portal).

STEP-IV: Add Payment Details This step should be done after the generation of SBI Collect DU reference number. Applicant has to add the DU reference number to his/ her application.

Note: Candidates who are applying for more than one PhD program need to apply and pay application fee for each program separately.

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• Applied Mathematics (M.S.)

Applied mathematics addresses problems in science, engineering, and society. Applied mathematicians solve problems across career fields, using a variety of mathematical strategies.

• Academic Programs

The M.S. program in applied mathematics at Illinois Tech serves a dual purpose based on your background and career aims. Should you want to pursue a doctoral degree in applied mathematical sciences, it provides a strong foundation that prepares you for the challenges of Ph.D. coursework and research. Should you want to pursue a career in industry, you will be trained in advanced mathematical techniques and models appealing to future employers.

The three options of study include writing a master's thesis, passing two qualifying exams, or conducting an industry-based project.

Five specializations are offered in the program: industrial mathematics, stochastic computation, discrete computation and optimization, computational statistics for data science, and quantitative risk management.

Note: The Coursework track may be completed online; the Industry Project and Thesis tracks require in-person classes.

Program Overview

Illinois Tech's M.S. in applied mathematics program provides a strong foundation that prepares you for the challenges of Ph.D. coursework and research. Or train in advanced mathematical techniques and models, appealing to future employers and providing the opportunity to pursue a career in a variety of industries.

Career Opportunities

Career paths with Illinois Tech’s M.S. in applied mathematics can vary widely depending on the specialization chosen.

• Forecasters
• Statisticians
• Mathematical researchers
• Mathematical modelers

View Details

Admission typically requires a bachelor's degree in mathematics, applied mathematics, or related quantitative fields. Candidates whose degree is in another field and whose background in mathematics is strong are also eligible for admission and are encouraged to apply. All undergraduate prerequisites courses must be fulfilled, in addition to fulfilling all other degree requirements.

A cumulative undergraduate GPA of 3.0/4.0 is usually required.

At least two letters of recommendation are required.

A TOEFL score of 80 is required if an applicant is from a non-English-speaking country.

Program Specializations

Program specializations are designed to meet modern job market needs. Choosing a specialization is optional and not a degree requirement.

• Computational Statistics for Data Science
• Discrete Computation and Optimization
• Industrial Mathematics
• Quantitative Risk Management
• Stochastic Computation

Ask a Professor

What do climate change, finance, data science, sports analytics, engineering, and software development all have in common? They all have foundations in mathematics. Discover how a degree in applied mathematics can open doors to these careers, and many more, by speaking with Professor Igor Cialenco, director of graduate studies at Illinois Tech’s Department of Applied Mathematics. These virtual visits occur on Wednesdays from 3 p.m. to 4 p.m. CST.

Featured Faculty

Igor Cialenco

Jinqiao (Jeffrey) Duan

Sonja Petrović

Sergey Nadtochiy

Tomasz Bielecki

Hemanshu Kaul

Charles Tier

Bright career outlook, median salary (mathematician).

-U.S. Bureau of Labor Statistics

Best Jobs (Data Scientist)

-U.S. News & World Report

Unemployment rate (Operations Research Analyst)

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30 Best universities for Mechanical Engineering in Moscow, Russia

Updated: February 29, 2024

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Below is a list of best universities in Moscow ranked based on their research performance in Mechanical Engineering. A graph of 269K citations received by 45.8K academic papers made by 30 universities in Moscow was used to calculate publications' ratings, which then were adjusted for release dates and added to final scores.

We don't distinguish between undergraduate and graduate programs nor do we adjust for current majors offered. You can find information about granted degrees on a university page but always double-check with the university website.

1. Moscow State University

For Mechanical Engineering

2. Bauman Moscow State Technical University

3. National Research University Higher School of Economics

4. Moscow Aviation Institute

5. N.R.U. Moscow Power Engineering Institute

6. National Research Nuclear University MEPI

7. National University of Science and Technology "MISIS"

8. Moscow Institute of Physics and Technology

9. Moscow State Technological University "Stankin"

10. RUDN University

11. Moscow Polytech

12. Moscow State University of Railway Engineering

13. Finance Academy under the Government of the Russian Federation

14. Moscow Medical Academy

15. Russian State University of Oil and Gas

16. mendeleev university of chemical technology of russia.

17. Russian National Research Medical University

18. Plekhanov Russian University of Economics

19. National Research University of Electronic Technology

20. Moscow State Pedagogical University

21. Russian Presidential Academy of National Economy and Public Administration

22. State University of Management

23. Moscow State Institute of International Relations

24. Russian State Geological Prospecting University

25. russian state agricultural university.

26. New Economic School

27. Moscow State Technical University of Civil Aviation

28. Russian State University for the Humanities

29. Russian State Social University

30. Moscow State Linguistic University

Universities for Mechanical Engineering near Moscow

Engineering subfields in moscow.

Victor Mukhin

• Scientific Program

Title : Active carbons as nanoporous materials for solving of environmental problems

However, up to now, the main carriers of catalytic additives have been mineral sorbents: silica gels, alumogels. This is obviously due to the fact that they consist of pure homogeneous components SiO2 and Al2O3, respectively. It is generally known that impurities, especially the ash elements, are catalytic poisons that reduce the effectiveness of the catalyst. Therefore, carbon sorbents with 5-15% by weight of ash elements in their composition are not used in the above mentioned technologies. However, in such an important field as a gas-mask technique, carbon sorbents (active carbons) are carriers of catalytic additives, providing effective protection of a person against any types of potent poisonous substances (PPS). In ESPE “JSC "Neorganika" there has been developed the technology of unique ashless spherical carbon carrier-catalysts by the method of liquid forming of furfural copolymers with subsequent gas-vapor activation, brand PAC. Active carbons PAC have 100% qualitative characteristics of the three main properties of carbon sorbents: strength - 100%, the proportion of sorbing pores in the pore space – 100%, purity - 100% (ash content is close to zero). A particularly outstanding feature of active PAC carbons is their uniquely high mechanical compressive strength of 740 ± 40 MPa, which is 3-7 times larger than that of  such materials as granite, quartzite, electric coal, and is comparable to the value for cast iron - 400-1000 MPa. This allows the PAC to operate under severe conditions in moving and fluidized beds.  Obviously, it is time to actively develop catalysts based on PAC sorbents for oil refining, petrochemicals, gas processing and various technologies of organic synthesis.

Victor M. Mukhin was born in 1946 in the town of Orsk, Russia. In 1970 he graduated the Technological Institute in Leningrad. Victor M. Mukhin was directed to work to the scientific-industrial organization "Neorganika" (Elektrostal, Moscow region) where he is working during 47 years, at present as the head of the laboratory of carbon sorbents.     Victor M. Mukhin defended a Ph. D. thesis and a doctoral thesis at the Mendeleev University of Chemical Technology of Russia (in 1979 and 1997 accordingly). Professor of Mendeleev University of Chemical Technology of Russia. Scientific interests: production, investigation and application of active carbons, technological and ecological carbon-adsorptive processes, environmental protection, production of ecologically clean food.   

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